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Finding the Fourth Proportional to 497,142.40, 745,837.80 and 160,214.80

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Solution

The fourth proportional to 497,142.40, 745,837.80 and 160,214.80 is: 240,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,142.40 : 745,837.80 = 160,214.80 : x
  2. Step 2: Convert to fraction form
    497,142.40/745,837.80 = 160,214.80/x
  3. Step 3: Cross multiply
    497,142.40x = 745,837.80 × 160,214.80
  4. Step 4: Simplify right side
    497,142.40x = 119,494,253,959.44
  5. Step 5: Solve for x
    x = 119,494,253,959.44/497,142.40
  6. Step 6: Final answer
    x = 240,362.23

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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.