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Finding the Fourth Proportional to 296,332.50, 408,938.82 and 160,366.44

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Solution

The fourth proportional to 296,332.50, 408,938.82 and 160,366.44 is: 221,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,332.50 : 408,938.82 = 160,366.44 : x
  2. Step 2: Convert to fraction form
    296,332.50/408,938.82 = 160,366.44/x
  3. Step 3: Cross multiply
    296,332.50x = 408,938.82 × 160,366.44
  4. Step 4: Simplify right side
    296,332.50x = 65,580,062,741.20
  5. Step 5: Solve for x
    x = 65,580,062,741.20/296,332.50
  6. Step 6: Final answer
    x = 221,305.67

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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.