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Finding the Fourth Proportional to 402,182, 555,011.16 and 223,334

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Solution

The fourth proportional to 402,182, 555,011.16 and 223,334 is: 308,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,182 : 555,011.16 = 223,334 : x
  2. Step 2: Convert to fraction form
    402,182/555,011.16 = 223,334/x
  3. Step 3: Cross multiply
    402,182x = 555,011.16 × 223,334
  4. Step 4: Simplify right side
    402,182x = 123,952,862,407.44
  5. Step 5: Solve for x
    x = 123,952,862,407.44/402,182
  6. Step 6: Final answer
    x = 308,200.92

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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.