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Finding the Fourth Proportional to 292,434.30, 438,766.65 and 114,911.10

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Solution

The fourth proportional to 292,434.30, 438,766.65 and 114,911.10 is: 172,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,434.30 : 438,766.65 = 114,911.10 : x
  2. Step 2: Convert to fraction form
    292,434.30/438,766.65 = 114,911.10/x
  3. Step 3: Cross multiply
    292,434.30x = 438,766.65 × 114,911.10
  4. Step 4: Simplify right side
    292,434.30x = 50,419,158,394.82
  5. Step 5: Solve for x
    x = 50,419,158,394.82/292,434.30
  6. Step 6: Final answer
    x = 172,411.92

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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.