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Finding the Fourth Proportional to 585,502.16, 875,847.47 and 467,404.16

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Solution

The fourth proportional to 585,502.16, 875,847.47 and 467,404.16 is: 699,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,502.16 : 875,847.47 = 467,404.16 : x
  2. Step 2: Convert to fraction form
    585,502.16/875,847.47 = 467,404.16/x
  3. Step 3: Cross multiply
    585,502.16x = 875,847.47 × 467,404.16
  4. Step 4: Simplify right side
    585,502.16x = 409,374,744,287.22
  5. Step 5: Solve for x
    x = 409,374,744,287.22/585,502.16
  6. Step 6: Final answer
    x = 699,185.72

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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.