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Finding the Fourth Proportional to 433,471.65, 650,207.48 and 152,952.45

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Solution

The fourth proportional to 433,471.65, 650,207.48 and 152,952.45 is: 229,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,471.65 : 650,207.48 = 152,952.45 : x
  2. Step 2: Convert to fraction form
    433,471.65/650,207.48 = 152,952.45/x
  3. Step 3: Cross multiply
    433,471.65x = 650,207.48 × 152,952.45
  4. Step 4: Simplify right side
    433,471.65x = 99,450,826,309.56
  5. Step 5: Solve for x
    x = 99,450,826,309.56/433,471.65
  6. Step 6: Final answer
    x = 229,428.68

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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.