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Finding the Fourth Proportional to 292,468.92, 438,712.32 and 100,340.65

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Solution

The fourth proportional to 292,468.92, 438,712.32 and 100,340.65 is: 150,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,468.92 : 438,712.32 = 100,340.65 : x
  2. Step 2: Convert to fraction form
    292,468.92/438,712.32 = 100,340.65/x
  3. Step 3: Cross multiply
    292,468.92x = 438,712.32 × 100,340.65
  4. Step 4: Simplify right side
    292,468.92x = 44,020,678,478.18
  5. Step 5: Solve for x
    x = 44,020,678,478.18/292,468.92
  6. Step 6: Final answer
    x = 150,514.04

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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.