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Finding the Fourth Proportional to 556,105.38, 834,223.68 and 416,749.74

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Solution

The fourth proportional to 556,105.38, 834,223.68 and 416,749.74 is: 625,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,105.38 : 834,223.68 = 416,749.74 : x
  2. Step 2: Convert to fraction form
    556,105.38/834,223.68 = 416,749.74/x
  3. Step 3: Cross multiply
    556,105.38x = 834,223.68 × 416,749.74
  4. Step 4: Simplify right side
    556,105.38x = 347,662,501,741.84
  5. Step 5: Solve for x
    x = 347,662,501,741.84/556,105.38
  6. Step 6: Final answer
    x = 625,173.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.