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Finding the Fourth Proportional to 409,295.52, 564,678 and 248,034.24

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Solution

The fourth proportional to 409,295.52, 564,678 and 248,034.24 is: 342,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,295.52 : 564,678 = 248,034.24 : x
  2. Step 2: Convert to fraction form
    409,295.52/564,678 = 248,034.24/x
  3. Step 3: Cross multiply
    409,295.52x = 564,678 × 248,034.24
  4. Step 4: Simplify right side
    409,295.52x = 140,059,478,574.72
  5. Step 5: Solve for x
    x = 140,059,478,574.72/409,295.52
  6. Step 6: Final answer
    x = 342,196.46

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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.