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Finding the Fourth Proportional to 295,244.80, 442,564.80 and 145,254.40

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Solution

The fourth proportional to 295,244.80, 442,564.80 and 145,254.40 is: 217,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,244.80 : 442,564.80 = 145,254.40 : x
  2. Step 2: Convert to fraction form
    295,244.80/442,564.80 = 145,254.40/x
  3. Step 3: Cross multiply
    295,244.80x = 442,564.80 × 145,254.40
  4. Step 4: Simplify right side
    295,244.80x = 64,284,484,485.12
  5. Step 5: Solve for x
    x = 64,284,484,485.12/295,244.80
  6. Step 6: Final answer
    x = 217,732.83

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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.