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Finding the Fourth Proportional to 497,689.40, 746,534.10 and 160,729.40

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Solution

The fourth proportional to 497,689.40, 746,534.10 and 160,729.40 is: 241,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,689.40 : 746,534.10 = 160,729.40 : x
  2. Step 2: Convert to fraction form
    497,689.40/746,534.10 = 160,729.40/x
  3. Step 3: Cross multiply
    497,689.40x = 746,534.10 × 160,729.40
  4. Step 4: Simplify right side
    497,689.40x = 119,989,977,972.54
  5. Step 5: Solve for x
    x = 119,989,977,972.54/497,689.40
  6. Step 6: Final answer
    x = 241,094.10

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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.