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Finding the Fourth Proportional to 585,691.11, 877,534.02 and 319,638.51

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Solution

The fourth proportional to 585,691.11, 877,534.02 and 319,638.51 is: 478,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,691.11 : 877,534.02 = 319,638.51 : x
  2. Step 2: Convert to fraction form
    585,691.11/877,534.02 = 319,638.51/x
  3. Step 3: Cross multiply
    585,691.11x = 877,534.02 × 319,638.51
  4. Step 4: Simplify right side
    585,691.11x = 280,493,666,627.11
  5. Step 5: Solve for x
    x = 280,493,666,627.11/585,691.11
  6. Step 6: Final answer
    x = 478,910.58

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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.