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Finding the Fourth Proportional to 275,822.60, 413,636.70 and 98,335.40

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Solution

The fourth proportional to 275,822.60, 413,636.70 and 98,335.40 is: 147,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,822.60 : 413,636.70 = 98,335.40 : x
  2. Step 2: Convert to fraction form
    275,822.60/413,636.70 = 98,335.40/x
  3. Step 3: Cross multiply
    275,822.60x = 413,636.70 × 98,335.40
  4. Step 4: Simplify right side
    275,822.60x = 40,675,130,349.18
  5. Step 5: Solve for x
    x = 40,675,130,349.18/275,822.60
  6. Step 6: Final answer
    x = 147,468.45

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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.