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Finding the Fourth Proportional to 525,711.40, 787,530.30 and 314,722.60

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Solution

The fourth proportional to 525,711.40, 787,530.30 and 314,722.60 is: 471,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,711.40 : 787,530.30 = 314,722.60 : x
  2. Step 2: Convert to fraction form
    525,711.40/787,530.30 = 314,722.60/x
  3. Step 3: Cross multiply
    525,711.40x = 787,530.30 × 314,722.60
  4. Step 4: Simplify right side
    525,711.40x = 247,853,583,594.78
  5. Step 5: Solve for x
    x = 247,853,583,594.78/525,711.40
  6. Step 6: Final answer
    x = 471,463.21

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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.