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Finding the Fourth Proportional to 497,706.92, 686,805.92 and 282,817.16

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Solution

The fourth proportional to 497,706.92, 686,805.92 and 282,817.16 is: 390,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.92 : 686,805.92 = 282,817.16 : x
  2. Step 2: Convert to fraction form
    497,706.92/686,805.92 = 282,817.16/x
  3. Step 3: Cross multiply
    497,706.92x = 686,805.92 × 282,817.16
  4. Step 4: Simplify right side
    497,706.92x = 194,240,499,765.59
  5. Step 5: Solve for x
    x = 194,240,499,765.59/497,706.92
  6. Step 6: Final answer
    x = 390,270.84

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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.