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Finding the Fourth Proportional to 413,937.60, 578,812.80 and 413,937.60

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Solution

The fourth proportional to 413,937.60, 578,812.80 and 413,937.60 is: 578,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,937.60 : 578,812.80 = 413,937.60 : x
  2. Step 2: Convert to fraction form
    413,937.60/578,812.80 = 413,937.60/x
  3. Step 3: Cross multiply
    413,937.60x = 578,812.80 × 413,937.60
  4. Step 4: Simplify right side
    413,937.60x = 239,592,381,281.28
  5. Step 5: Solve for x
    x = 239,592,381,281.28/413,937.60
  6. Step 6: Final answer
    x = 578,812.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.