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Finding the Fourth Proportional to 719,770.16, 993,314.76 and 413,945.84

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Solution

The fourth proportional to 719,770.16, 993,314.76 and 413,945.84 is: 571,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,770.16 : 993,314.76 = 413,945.84 : x
  2. Step 2: Convert to fraction form
    719,770.16/993,314.76 = 413,945.84/x
  3. Step 3: Cross multiply
    719,770.16x = 993,314.76 × 413,945.84
  4. Step 4: Simplify right side
    719,770.16x = 411,178,512,712.60
  5. Step 5: Solve for x
    x = 411,178,512,712.60/719,770.16
  6. Step 6: Final answer
    x = 571,263.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.