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Finding the Fourth Proportional to 586,072.32, 808,524 and 343,927.68

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Solution

The fourth proportional to 586,072.32, 808,524 and 343,927.68 is: 474,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,072.32 : 808,524 = 343,927.68 : x
  2. Step 2: Convert to fraction form
    586,072.32/808,524 = 343,927.68/x
  3. Step 3: Cross multiply
    586,072.32x = 808,524 × 343,927.68
  4. Step 4: Simplify right side
    586,072.32x = 278,073,783,544.32
  5. Step 5: Solve for x
    x = 278,073,783,544.32/586,072.32
  6. Step 6: Final answer
    x = 474,470.09

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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.