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Finding the Fourth Proportional to 409,700.48, 565,391.66 and 237,658.28

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Solution

The fourth proportional to 409,700.48, 565,391.66 and 237,658.28 is: 327,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,700.48 : 565,391.66 = 237,658.28 : x
  2. Step 2: Convert to fraction form
    409,700.48/565,391.66 = 237,658.28/x
  3. Step 3: Cross multiply
    409,700.48x = 565,391.66 × 237,658.28
  4. Step 4: Simplify right side
    409,700.48x = 134,370,009,441.95
  5. Step 5: Solve for x
    x = 134,370,009,441.95/409,700.48
  6. Step 6: Final answer
    x = 327,971.33

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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.