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Finding the Fourth Proportional to 232,704, 349,056 and 74,948.40

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Solution

The fourth proportional to 232,704, 349,056 and 74,948.40 is: 112,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 349,056 = 74,948.40 : x
  2. Step 2: Convert to fraction form
    232,704/349,056 = 74,948.40/x
  3. Step 3: Cross multiply
    232,704x = 349,056 × 74,948.40
  4. Step 4: Simplify right side
    232,704x = 26,161,188,710.40
  5. Step 5: Solve for x
    x = 26,161,188,710.40/232,704
  6. Step 6: Final answer
    x = 112,422.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.