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Finding the Fourth Proportional to 472,937.60, 709,406.40 and 447,276.80

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Solution

The fourth proportional to 472,937.60, 709,406.40 and 447,276.80 is: 670,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,937.60 : 709,406.40 = 447,276.80 : x
  2. Step 2: Convert to fraction form
    472,937.60/709,406.40 = 447,276.80/x
  3. Step 3: Cross multiply
    472,937.60x = 709,406.40 × 447,276.80
  4. Step 4: Simplify right side
    472,937.60x = 317,301,024,491.52
  5. Step 5: Solve for x
    x = 317,301,024,491.52/472,937.60
  6. Step 6: Final answer
    x = 670,915.20

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