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Finding the Fourth Proportional to 402,502.46, 555,417.24 and 221,212.40

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Solution

The fourth proportional to 402,502.46, 555,417.24 and 221,212.40 is: 305,253.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,502.46 : 555,417.24 = 221,212.40 : x
  2. Step 2: Convert to fraction form
    402,502.46/555,417.24 = 221,212.40/x
  3. Step 3: Cross multiply
    402,502.46x = 555,417.24 × 221,212.40
  4. Step 4: Simplify right side
    402,502.46x = 122,865,180,661.78
  5. Step 5: Solve for x
    x = 122,865,180,661.78/402,502.46
  6. Step 6: Final answer
    x = 305,253.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.