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Finding the Fourth Proportional to 513,507.14, 708,401.06 and 332,277.56

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Solution

The fourth proportional to 513,507.14, 708,401.06 and 332,277.56 is: 458,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,507.14 : 708,401.06 = 332,277.56 : x
  2. Step 2: Convert to fraction form
    513,507.14/708,401.06 = 332,277.56/x
  3. Step 3: Cross multiply
    513,507.14x = 708,401.06 × 332,277.56
  4. Step 4: Simplify right side
    513,507.14x = 235,385,775,718.21
  5. Step 5: Solve for x
    x = 235,385,775,718.21/513,507.14
  6. Step 6: Final answer
    x = 458,388.52

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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.