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Finding the Fourth Proportional to 509,455.12, 703,022.38 and 283,095.76

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Solution

The fourth proportional to 509,455.12, 703,022.38 and 283,095.76 is: 390,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,455.12 : 703,022.38 = 283,095.76 : x
  2. Step 2: Convert to fraction form
    509,455.12/703,022.38 = 283,095.76/x
  3. Step 3: Cross multiply
    509,455.12x = 703,022.38 × 283,095.76
  4. Step 4: Simplify right side
    509,455.12x = 199,022,654,963.11
  5. Step 5: Solve for x
    x = 199,022,654,963.11/509,455.12
  6. Step 6: Final answer
    x = 390,657.88

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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.