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Finding the Fourth Proportional to 402,705.61, 555,735.17 and 221,428.94

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Solution

The fourth proportional to 402,705.61, 555,735.17 and 221,428.94 is: 305,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,705.61 : 555,735.17 = 221,428.94 : x
  2. Step 2: Convert to fraction form
    402,705.61/555,735.17 = 221,428.94/x
  3. Step 3: Cross multiply
    402,705.61x = 555,735.17 × 221,428.94
  4. Step 4: Simplify right side
    402,705.61x = 123,055,849,613.82
  5. Step 5: Solve for x
    x = 123,055,849,613.82/402,705.61
  6. Step 6: Final answer
    x = 305,572.72

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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.