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Finding the Fourth Proportional to 461,514.96, 637,178.94 and 353,878.20

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Solution

The fourth proportional to 461,514.96, 637,178.94 and 353,878.20 is: 488,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,514.96 : 637,178.94 = 353,878.20 : x
  2. Step 2: Convert to fraction form
    461,514.96/637,178.94 = 353,878.20/x
  3. Step 3: Cross multiply
    461,514.96x = 637,178.94 × 353,878.20
  4. Step 4: Simplify right side
    461,514.96x = 225,483,736,365.11
  5. Step 5: Solve for x
    x = 225,483,736,365.11/461,514.96
  6. Step 6: Final answer
    x = 488,572.97

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1.5x scale

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.