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Finding the Fourth Proportional to 409,560.50, 565,146.77 and 237,442.57

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Solution

The fourth proportional to 409,560.50, 565,146.77 and 237,442.57 is: 327,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560.50 : 565,146.77 = 237,442.57 : x
  2. Step 2: Convert to fraction form
    409,560.50/565,146.77 = 237,442.57/x
  3. Step 3: Cross multiply
    409,560.50x = 565,146.77 × 237,442.57
  4. Step 4: Simplify right side
    409,560.50x = 134,189,898,895.92
  5. Step 5: Solve for x
    x = 134,189,898,895.92/409,560.50
  6. Step 6: Final answer
    x = 327,643.65

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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.