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Finding the Fourth Proportional to 864,008.90, 1,296,013.35 and 421,640.90

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Solution

The fourth proportional to 864,008.90, 1,296,013.35 and 421,640.90 is: 632,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,008.90 : 1,296,013.35 = 421,640.90 : x
  2. Step 2: Convert to fraction form
    864,008.90/1,296,013.35 = 421,640.90/x
  3. Step 3: Cross multiply
    864,008.90x = 1,296,013.35 × 421,640.90
  4. Step 4: Simplify right side
    864,008.90x = 546,452,235,306.02
  5. Step 5: Solve for x
    x = 546,452,235,306.02/864,008.90
  6. Step 6: Final answer
    x = 632,461.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.