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Finding the Fourth Proportional to 532,827.29, 798,552 and 398,654.84

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Solution

The fourth proportional to 532,827.29, 798,552 and 398,654.84 is: 597,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,827.29 : 798,552 = 398,654.84 : x
  2. Step 2: Convert to fraction form
    532,827.29/798,552 = 398,654.84/x
  3. Step 3: Cross multiply
    532,827.29x = 798,552 × 398,654.84
  4. Step 4: Simplify right side
    532,827.29x = 318,346,615,798.92
  5. Step 5: Solve for x
    x = 318,346,615,798.92/532,827.29
  6. Step 6: Final answer
    x = 597,466.81

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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.