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Finding the Fourth Proportional to 502,693.38, 693,612.18 and 298,816.38

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Solution

The fourth proportional to 502,693.38, 693,612.18 and 298,816.38 is: 412,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,693.38 : 693,612.18 = 298,816.38 : x
  2. Step 2: Convert to fraction form
    502,693.38/693,612.18 = 298,816.38/x
  3. Step 3: Cross multiply
    502,693.38x = 693,612.18 × 298,816.38
  4. Step 4: Simplify right side
    502,693.38x = 207,262,680,751.51
  5. Step 5: Solve for x
    x = 207,262,680,751.51/502,693.38
  6. Step 6: Final answer
    x = 412,304.38

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1.5x scale

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.