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Finding the Fourth Proportional to 497,924.16, 746,886.40 and 165,500.16

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Solution

The fourth proportional to 497,924.16, 746,886.40 and 165,500.16 is: 248,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,924.16 : 746,886.40 = 165,500.16 : x
  2. Step 2: Convert to fraction form
    497,924.16/746,886.40 = 165,500.16/x
  3. Step 3: Cross multiply
    497,924.16x = 746,886.40 × 165,500.16
  4. Step 4: Simplify right side
    497,924.16x = 123,609,818,701.82
  5. Step 5: Solve for x
    x = 123,609,818,701.82/497,924.16
  6. Step 6: Final answer
    x = 248,250.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.