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Finding the Fourth Proportional to 232,468, 348,702 and 57,364

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Solution

The fourth proportional to 232,468, 348,702 and 57,364 is: 86,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,468 : 348,702 = 57,364 : x
  2. Step 2: Convert to fraction form
    232,468/348,702 = 57,364/x
  3. Step 3: Cross multiply
    232,468x = 348,702 × 57,364
  4. Step 4: Simplify right side
    232,468x = 20,002,941,528
  5. Step 5: Solve for x
    x = 20,002,941,528/232,468
  6. Step 6: Final answer
    x = 86,046

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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.