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Finding the Fourth Proportional to 585,046.13, 877,569.19 and 141,814.13

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Solution

The fourth proportional to 585,046.13, 877,569.19 and 141,814.13 is: 212,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,046.13 : 877,569.19 = 141,814.13 : x
  2. Step 2: Convert to fraction form
    585,046.13/877,569.19 = 141,814.13/x
  3. Step 3: Cross multiply
    585,046.13x = 877,569.19 × 141,814.13
  4. Step 4: Simplify right side
    585,046.13x = 124,451,711,194.66
  5. Step 5: Solve for x
    x = 124,451,711,194.66/585,046.13
  6. Step 6: Final answer
    x = 212,721.19

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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.