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Finding the Fourth Proportional to 314,496, 471,744 and 92,897.28

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Solution

The fourth proportional to 314,496, 471,744 and 92,897.28 is: 139,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,496 : 471,744 = 92,897.28 : x
  2. Step 2: Convert to fraction form
    314,496/471,744 = 92,897.28/x
  3. Step 3: Cross multiply
    314,496x = 471,744 × 92,897.28
  4. Step 4: Simplify right side
    314,496x = 43,823,734,456.32
  5. Step 5: Solve for x
    x = 43,823,734,456.32/314,496
  6. Step 6: Final answer
    x = 139,345.92

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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.