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Finding the Fourth Proportional to 525,177.40, 785,951.70 and 314,966.20

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Solution

The fourth proportional to 525,177.40, 785,951.70 and 314,966.20 is: 471,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,177.40 : 785,951.70 = 314,966.20 : x
  2. Step 2: Convert to fraction form
    525,177.40/785,951.70 = 314,966.20/x
  3. Step 3: Cross multiply
    525,177.40x = 785,951.70 × 314,966.20
  4. Step 4: Simplify right side
    525,177.40x = 247,548,220,332.54
  5. Step 5: Solve for x
    x = 247,548,220,332.54/525,177.40
  6. Step 6: Final answer
    x = 471,361.14

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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.