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Finding the Fourth Proportional to 443,931.74, 665,903.75 and 144,413.88

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Solution

The fourth proportional to 443,931.74, 665,903.75 and 144,413.88 is: 216,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,931.74 : 665,903.75 = 144,413.88 : x
  2. Step 2: Convert to fraction form
    443,931.74/665,903.75 = 144,413.88/x
  3. Step 3: Cross multiply
    443,931.74x = 665,903.75 × 144,413.88
  4. Step 4: Simplify right side
    443,931.74x = 96,165,744,244.05
  5. Step 5: Solve for x
    x = 96,165,744,244.05/443,931.74
  6. Step 6: Final answer
    x = 216,622.82

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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.