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Finding the Fourth Proportional to 409,407.48, 564,983.46 and 237,358.80

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Solution

The fourth proportional to 409,407.48, 564,983.46 and 237,358.80 is: 327,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,407.48 : 564,983.46 = 237,358.80 : x
  2. Step 2: Convert to fraction form
    409,407.48/564,983.46 = 237,358.80/x
  3. Step 3: Cross multiply
    409,407.48x = 564,983.46 × 237,358.80
  4. Step 4: Simplify right side
    409,407.48x = 134,103,796,085.45
  5. Step 5: Solve for x
    x = 134,103,796,085.45/409,407.48
  6. Step 6: Final answer
    x = 327,555.80

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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.