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Finding the Fourth Proportional to 442,172.04, 663,398.24 and 157,856.48

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Solution

The fourth proportional to 442,172.04, 663,398.24 and 157,856.48 is: 236,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,172.04 : 663,398.24 = 157,856.48 : x
  2. Step 2: Convert to fraction form
    442,172.04/663,398.24 = 157,856.48/x
  3. Step 3: Cross multiply
    442,172.04x = 663,398.24 × 157,856.48
  4. Step 4: Simplify right side
    442,172.04x = 104,721,709,386.07
  5. Step 5: Solve for x
    x = 104,721,709,386.07/442,172.04
  6. Step 6: Final answer
    x = 236,834.76

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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.