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Finding the Fourth Proportional to 443,506.95, 665,130.83 and 159,164.55

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Solution

The fourth proportional to 443,506.95, 665,130.83 and 159,164.55 is: 238,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,506.95 : 665,130.83 = 159,164.55 : x
  2. Step 2: Convert to fraction form
    443,506.95/665,130.83 = 159,164.55/x
  3. Step 3: Cross multiply
    443,506.95x = 665,130.83 × 159,164.55
  4. Step 4: Simplify right side
    443,506.95x = 105,865,248,452.25
  5. Step 5: Solve for x
    x = 105,865,248,452.25/443,506.95
  6. Step 6: Final answer
    x = 238,700.31

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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.