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Finding the Fourth Proportional to 314,498, 471,747 and 92,899.28

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Solution

The fourth proportional to 314,498, 471,747 and 92,899.28 is: 139,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,498 : 471,747 = 92,899.28 : x
  2. Step 2: Convert to fraction form
    314,498/471,747 = 92,899.28/x
  3. Step 3: Cross multiply
    314,498x = 471,747 × 92,899.28
  4. Step 4: Simplify right side
    314,498x = 43,824,956,642.16
  5. Step 5: Solve for x
    x = 43,824,956,642.16/314,498
  6. Step 6: Final answer
    x = 139,348.92

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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.