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Finding the Fourth Proportional to 497,534.40, 746,301.06 and 123,557.40

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Solution

The fourth proportional to 497,534.40, 746,301.06 and 123,557.40 is: 185,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,534.40 : 746,301.06 = 123,557.40 : x
  2. Step 2: Convert to fraction form
    497,534.40/746,301.06 = 123,557.40/x
  3. Step 3: Cross multiply
    497,534.40x = 746,301.06 × 123,557.40
  4. Step 4: Simplify right side
    497,534.40x = 92,211,018,590.84
  5. Step 5: Solve for x
    x = 92,211,018,590.84/497,534.40
  6. Step 6: Final answer
    x = 185,335.97

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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.