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Finding the Fourth Proportional to 291,726.55, 402,582.03 and 157,590.55

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Solution

The fourth proportional to 291,726.55, 402,582.03 and 157,590.55 is: 217,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,726.55 : 402,582.03 = 157,590.55 : x
  2. Step 2: Convert to fraction form
    291,726.55/402,582.03 = 157,590.55/x
  3. Step 3: Cross multiply
    291,726.55x = 402,582.03 × 157,590.55
  4. Step 4: Simplify right side
    291,726.55x = 63,443,121,514.91
  5. Step 5: Solve for x
    x = 63,443,121,514.91/291,726.55
  6. Step 6: Final answer
    x = 217,474.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.