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Finding the Fourth Proportional to 357,083.13, 535,342.86 and 177,044.42

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Solution

The fourth proportional to 357,083.13, 535,342.86 and 177,044.42 is: 265,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,083.13 : 535,342.86 = 177,044.42 : x
  2. Step 2: Convert to fraction form
    357,083.13/535,342.86 = 177,044.42/x
  3. Step 3: Cross multiply
    357,083.13x = 535,342.86 × 177,044.42
  4. Step 4: Simplify right side
    357,083.13x = 94,779,466,149.84
  5. Step 5: Solve for x
    x = 94,779,466,149.84/357,083.13
  6. Step 6: Final answer
    x = 265,426.89

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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.