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Finding the Fourth Proportional to 513,522.95, 708,422.87 and 332,293.45

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Solution

The fourth proportional to 513,522.95, 708,422.87 and 332,293.45 is: 458,410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,522.95 : 708,422.87 = 332,293.45 : x
  2. Step 2: Convert to fraction form
    513,522.95/708,422.87 = 332,293.45/x
  3. Step 3: Cross multiply
    513,522.95x = 708,422.87 × 332,293.45
  4. Step 4: Simplify right side
    513,522.95x = 235,404,276,929.41
  5. Step 5: Solve for x
    x = 235,404,276,929.41/513,522.95
  6. Step 6: Final answer
    x = 458,410.43

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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.