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Finding the Fourth Proportional to 461,462.90, 692,129.55 and 145,951.70

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Solution

The fourth proportional to 461,462.90, 692,129.55 and 145,951.70 is: 218,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.90 : 692,129.55 = 145,951.70 : x
  2. Step 2: Convert to fraction form
    461,462.90/692,129.55 = 145,951.70/x
  3. Step 3: Cross multiply
    461,462.90x = 692,129.55 × 145,951.70
  4. Step 4: Simplify right side
    461,462.90x = 101,017,484,442.74
  5. Step 5: Solve for x
    x = 101,017,484,442.74/461,462.90
  6. Step 6: Final answer
    x = 218,907.06

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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.