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Finding the Fourth Proportional to 464,337.83, 640,514.71 and 291,983.01

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Solution

The fourth proportional to 464,337.83, 640,514.71 and 291,983.01 is: 402,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,337.83 : 640,514.71 = 291,983.01 : x
  2. Step 2: Convert to fraction form
    464,337.83/640,514.71 = 291,983.01/x
  3. Step 3: Cross multiply
    464,337.83x = 640,514.71 × 291,983.01
  4. Step 4: Simplify right side
    464,337.83x = 187,019,412,975.08
  5. Step 5: Solve for x
    x = 187,019,412,975.08/464,337.83
  6. Step 6: Final answer
    x = 402,765.83

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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.