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Finding the Fourth Proportional to 283,598.28, 424,996.20 and 157,294.08

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Solution

The fourth proportional to 283,598.28, 424,996.20 and 157,294.08 is: 235,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,598.28 : 424,996.20 = 157,294.08 : x
  2. Step 2: Convert to fraction form
    283,598.28/424,996.20 = 157,294.08/x
  3. Step 3: Cross multiply
    283,598.28x = 424,996.20 × 157,294.08
  4. Step 4: Simplify right side
    283,598.28x = 66,849,386,282.50
  5. Step 5: Solve for x
    x = 66,849,386,282.50/283,598.28
  6. Step 6: Final answer
    x = 235,718.59

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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.