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Finding the Fourth Proportional to 463,582.93, 695,265.30 and 126,543.45

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Solution

The fourth proportional to 463,582.93, 695,265.30 and 126,543.45 is: 189,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,582.93 : 695,265.30 = 126,543.45 : x
  2. Step 2: Convert to fraction form
    463,582.93/695,265.30 = 126,543.45/x
  3. Step 3: Cross multiply
    463,582.93x = 695,265.30 × 126,543.45
  4. Step 4: Simplify right side
    463,582.93x = 87,981,269,727.29
  5. Step 5: Solve for x
    x = 87,981,269,727.29/463,582.93
  6. Step 6: Final answer
    x = 189,785.40

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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.