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Finding the Fourth Proportional to 289,009.70, 433,514.55 and 149,041.70

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Solution

The fourth proportional to 289,009.70, 433,514.55 and 149,041.70 is: 223,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.70 : 433,514.55 = 149,041.70 : x
  2. Step 2: Convert to fraction form
    289,009.70/433,514.55 = 149,041.70/x
  3. Step 3: Cross multiply
    289,009.70x = 433,514.55 × 149,041.70
  4. Step 4: Simplify right side
    289,009.70x = 64,611,745,506.74
  5. Step 5: Solve for x
    x = 64,611,745,506.74/289,009.70
  6. Step 6: Final answer
    x = 223,562.55

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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.