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Finding the Fourth Proportional to 532,854.40, 798,892.80 and 217,148.80

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Solution

The fourth proportional to 532,854.40, 798,892.80 and 217,148.80 is: 325,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,854.40 : 798,892.80 = 217,148.80 : x
  2. Step 2: Convert to fraction form
    532,854.40/798,892.80 = 217,148.80/x
  3. Step 3: Cross multiply
    532,854.40x = 798,892.80 × 217,148.80
  4. Step 4: Simplify right side
    532,854.40x = 173,478,612,848.64
  5. Step 5: Solve for x
    x = 173,478,612,848.64/532,854.40
  6. Step 6: Final answer
    x = 325,564.76

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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.