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Finding the Fourth Proportional to 463,648.38, 695,390.36 and 210,869.66

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Solution

The fourth proportional to 463,648.38, 695,390.36 and 210,869.66 is: 316,267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648.38 : 695,390.36 = 210,869.66 : x
  2. Step 2: Convert to fraction form
    463,648.38/695,390.36 = 210,869.66/x
  3. Step 3: Cross multiply
    463,648.38x = 695,390.36 × 210,869.66
  4. Step 4: Simplify right side
    463,648.38x = 146,636,728,780.48
  5. Step 5: Solve for x
    x = 146,636,728,780.48/463,648.38
  6. Step 6: Final answer
    x = 316,267.10

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1.5x scale

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.