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Finding the Fourth Proportional to 497,700.90, 686,797.65 and 282,811.14

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Solution

The fourth proportional to 497,700.90, 686,797.65 and 282,811.14 is: 390,262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,700.90 : 686,797.65 = 282,811.14 : x
  2. Step 2: Convert to fraction form
    497,700.90/686,797.65 = 282,811.14/x
  3. Step 3: Cross multiply
    497,700.90x = 686,797.65 × 282,811.14
  4. Step 4: Simplify right side
    497,700.90x = 194,234,026,345.82
  5. Step 5: Solve for x
    x = 194,234,026,345.82/497,700.90
  6. Step 6: Final answer
    x = 390,262.56

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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.