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Finding the Fourth Proportional to 295,113, 442,671.12 and 73,497

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Solution

The fourth proportional to 295,113, 442,671.12 and 73,497 is: 110,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,113 : 442,671.12 = 73,497 : x
  2. Step 2: Convert to fraction form
    295,113/442,671.12 = 73,497/x
  3. Step 3: Cross multiply
    295,113x = 442,671.12 × 73,497
  4. Step 4: Simplify right side
    295,113x = 32,534,999,306.64
  5. Step 5: Solve for x
    x = 32,534,999,306.64/295,113
  6. Step 6: Final answer
    x = 110,245.90

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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.