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Finding the Fourth Proportional to 482,807.30, 724,207.35 and 145,847.30

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Solution

The fourth proportional to 482,807.30, 724,207.35 and 145,847.30 is: 218,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,807.30 : 724,207.35 = 145,847.30 : x
  2. Step 2: Convert to fraction form
    482,807.30/724,207.35 = 145,847.30/x
  3. Step 3: Cross multiply
    482,807.30x = 724,207.35 × 145,847.30
  4. Step 4: Simplify right side
    482,807.30x = 105,623,686,637.66
  5. Step 5: Solve for x
    x = 105,623,686,637.66/482,807.30
  6. Step 6: Final answer
    x = 218,769.86

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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.