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Finding the Fourth Proportional to 320,955.80, 442,913.82 and 177,715.40

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Solution

The fourth proportional to 320,955.80, 442,913.82 and 177,715.40 is: 245,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,955.80 : 442,913.82 = 177,715.40 : x
  2. Step 2: Convert to fraction form
    320,955.80/442,913.82 = 177,715.40/x
  3. Step 3: Cross multiply
    320,955.80x = 442,913.82 × 177,715.40
  4. Step 4: Simplify right side
    320,955.80x = 78,712,606,686.83
  5. Step 5: Solve for x
    x = 78,712,606,686.83/320,955.80
  6. Step 6: Final answer
    x = 245,244.38

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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.