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Finding the Fourth Proportional to 412,749.24, 569,352.66 and 259,544.88

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Solution

The fourth proportional to 412,749.24, 569,352.66 and 259,544.88 is: 358,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,749.24 : 569,352.66 = 259,544.88 : x
  2. Step 2: Convert to fraction form
    412,749.24/569,352.66 = 259,544.88/x
  3. Step 3: Cross multiply
    412,749.24x = 569,352.66 × 259,544.88
  4. Step 4: Simplify right side
    412,749.24x = 147,772,563,672.89
  5. Step 5: Solve for x
    x = 147,772,563,672.89/412,749.24
  6. Step 6: Final answer
    x = 358,020.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.