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Finding the Fourth Proportional to 561,171.90, 774,187.95 and 414,348.63

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Solution

The fourth proportional to 561,171.90, 774,187.95 and 414,348.63 is: 571,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,171.90 : 774,187.95 = 414,348.63 : x
  2. Step 2: Convert to fraction form
    561,171.90/774,187.95 = 414,348.63/x
  3. Step 3: Cross multiply
    561,171.90x = 774,187.95 × 414,348.63
  4. Step 4: Simplify right side
    561,171.90x = 320,783,716,445.01
  5. Step 5: Solve for x
    x = 320,783,716,445.01/561,171.90
  6. Step 6: Final answer
    x = 571,631.82

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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.