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Finding the Fourth Proportional to 478,521.60, 716,896.80 and 278,937.60

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Solution

The fourth proportional to 478,521.60, 716,896.80 and 278,937.60 is: 417,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,521.60 : 716,896.80 = 278,937.60 : x
  2. Step 2: Convert to fraction form
    478,521.60/716,896.80 = 278,937.60/x
  3. Step 3: Cross multiply
    478,521.60x = 716,896.80 × 278,937.60
  4. Step 4: Simplify right side
    478,521.60x = 199,969,472,839.68
  5. Step 5: Solve for x
    x = 199,969,472,839.68/478,521.60
  6. Step 6: Final answer
    x = 417,890.17

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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.