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Finding the Fourth Proportional to 497,707.90, 686,807.30 and 282,818.14

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Solution

The fourth proportional to 497,707.90, 686,807.30 and 282,818.14 is: 390,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,707.90 : 686,807.30 = 282,818.14 : x
  2. Step 2: Convert to fraction form
    497,707.90/686,807.30 = 282,818.14/x
  3. Step 3: Cross multiply
    497,707.90x = 686,807.30 × 282,818.14
  4. Step 4: Simplify right side
    497,707.90x = 194,241,563,124.42
  5. Step 5: Solve for x
    x = 194,241,563,124.42/497,707.90
  6. Step 6: Final answer
    x = 390,272.21

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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.