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Finding the Fourth Proportional to 590,034.32, 813,463.38 and 385,733.97

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Solution

The fourth proportional to 590,034.32, 813,463.38 and 385,733.97 is: 531,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,034.32 : 813,463.38 = 385,733.97 : x
  2. Step 2: Convert to fraction form
    590,034.32/813,463.38 = 385,733.97/x
  3. Step 3: Cross multiply
    590,034.32x = 813,463.38 × 385,733.97
  4. Step 4: Simplify right side
    590,034.32x = 313,780,459,017.02
  5. Step 5: Solve for x
    x = 313,780,459,017.02/590,034.32
  6. Step 6: Final answer
    x = 531,800.36

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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.