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Finding the Fourth Proportional to 502,382.23, 693,116.01 and 311,325.91

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Solution

The fourth proportional to 502,382.23, 693,116.01 and 311,325.91 is: 429,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,382.23 : 693,116.01 = 311,325.91 : x
  2. Step 2: Convert to fraction form
    502,382.23/693,116.01 = 311,325.91/x
  3. Step 3: Cross multiply
    502,382.23x = 693,116.01 × 311,325.91
  4. Step 4: Simplify right side
    502,382.23x = 215,784,972,548.82
  5. Step 5: Solve for x
    x = 215,784,972,548.82/502,382.23
  6. Step 6: Final answer
    x = 429,523.50

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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.