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Finding the Fourth Proportional to 289,326.10, 433,989.15 and 243,706.90

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Solution

The fourth proportional to 289,326.10, 433,989.15 and 243,706.90 is: 365,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,326.10 : 433,989.15 = 243,706.90 : x
  2. Step 2: Convert to fraction form
    289,326.10/433,989.15 = 243,706.90/x
  3. Step 3: Cross multiply
    289,326.10x = 433,989.15 × 243,706.90
  4. Step 4: Simplify right side
    289,326.10x = 105,766,150,380.14
  5. Step 5: Solve for x
    x = 105,766,150,380.14/289,326.10
  6. Step 6: Final answer
    x = 365,560.35

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1.5x scale

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.