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Finding the Fourth Proportional to 632,439.80, 946,691.40 and 365,407.10

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Solution

The fourth proportional to 632,439.80, 946,691.40 and 365,407.10 is: 546,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,439.80 : 946,691.40 = 365,407.10 : x
  2. Step 2: Convert to fraction form
    632,439.80/946,691.40 = 365,407.10/x
  3. Step 3: Cross multiply
    632,439.80x = 946,691.40 × 365,407.10
  4. Step 4: Simplify right side
    632,439.80x = 345,927,759,068.94
  5. Step 5: Solve for x
    x = 345,927,759,068.94/632,439.80
  6. Step 6: Final answer
    x = 546,973.42

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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.