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Finding the Fourth Proportional to 331,651.40, 497,547.93 and 107,024.60

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Solution

The fourth proportional to 331,651.40, 497,547.93 and 107,024.60 is: 160,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,651.40 : 497,547.93 = 107,024.60 : x
  2. Step 2: Convert to fraction form
    331,651.40/497,547.93 = 107,024.60/x
  3. Step 3: Cross multiply
    331,651.40x = 497,547.93 × 107,024.60
  4. Step 4: Simplify right side
    331,651.40x = 53,249,868,189.08
  5. Step 5: Solve for x
    x = 53,249,868,189.08/331,651.40
  6. Step 6: Final answer
    x = 160,559.76

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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.