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Finding the Fourth Proportional to 310,734, 466,101 and 77,262

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Solution

The fourth proportional to 310,734, 466,101 and 77,262 is: 115,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,734 : 466,101 = 77,262 : x
  2. Step 2: Convert to fraction form
    310,734/466,101 = 77,262/x
  3. Step 3: Cross multiply
    310,734x = 466,101 × 77,262
  4. Step 4: Simplify right side
    310,734x = 36,011,895,462
  5. Step 5: Solve for x
    x = 36,011,895,462/310,734
  6. Step 6: Final answer
    x = 115,893

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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.