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Finding the Fourth Proportional to 599,565.60, 897,380.10 and 465,721.20

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Solution

The fourth proportional to 599,565.60, 897,380.10 and 465,721.20 is: 697,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,565.60 : 897,380.10 = 465,721.20 : x
  2. Step 2: Convert to fraction form
    599,565.60/897,380.10 = 465,721.20/x
  3. Step 3: Cross multiply
    599,565.60x = 897,380.10 × 465,721.20
  4. Step 4: Simplify right side
    599,565.60x = 417,928,937,028.12
  5. Step 5: Solve for x
    x = 417,928,937,028.12/599,565.60
  6. Step 6: Final answer
    x = 697,052.89

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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.