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Finding the Fourth Proportional to 442,341, 663,511.50 and 146,853

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Solution

The fourth proportional to 442,341, 663,511.50 and 146,853 is: 220,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,341 : 663,511.50 = 146,853 : x
  2. Step 2: Convert to fraction form
    442,341/663,511.50 = 146,853/x
  3. Step 3: Cross multiply
    442,341x = 663,511.50 × 146,853
  4. Step 4: Simplify right side
    442,341x = 97,438,654,309.50
  5. Step 5: Solve for x
    x = 97,438,654,309.50/442,341
  6. Step 6: Final answer
    x = 220,279.50

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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.