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Finding the Fourth Proportional to 616,234.20, 924,351.30 and 216,871.80

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Solution

The fourth proportional to 616,234.20, 924,351.30 and 216,871.80 is: 325,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,234.20 : 924,351.30 = 216,871.80 : x
  2. Step 2: Convert to fraction form
    616,234.20/924,351.30 = 216,871.80/x
  3. Step 3: Cross multiply
    616,234.20x = 924,351.30 × 216,871.80
  4. Step 4: Simplify right side
    616,234.20x = 200,465,730,263.34
  5. Step 5: Solve for x
    x = 200,465,730,263.34/616,234.20
  6. Step 6: Final answer
    x = 325,307.70

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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.