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Finding the Fourth Proportional to 357,987.89, 493,564.68 and 293,218.52

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Solution

The fourth proportional to 357,987.89, 493,564.68 and 293,218.52 is: 404,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,987.89 : 493,564.68 = 293,218.52 : x
  2. Step 2: Convert to fraction form
    357,987.89/493,564.68 = 293,218.52/x
  3. Step 3: Cross multiply
    357,987.89x = 493,564.68 × 293,218.52
  4. Step 4: Simplify right side
    357,987.89x = 144,722,302,526.05
  5. Step 5: Solve for x
    x = 144,722,302,526.05/357,987.89
  6. Step 6: Final answer
    x = 404,265.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.