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Finding the Fourth Proportional to 577,386.70, 866,024.38 and 177,920.21

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Solution

The fourth proportional to 577,386.70, 866,024.38 and 177,920.21 is: 266,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,386.70 : 866,024.38 = 177,920.21 : x
  2. Step 2: Convert to fraction form
    577,386.70/866,024.38 = 177,920.21/x
  3. Step 3: Cross multiply
    577,386.70x = 866,024.38 × 177,920.21
  4. Step 4: Simplify right side
    577,386.70x = 154,083,242,442.58
  5. Step 5: Solve for x
    x = 154,083,242,442.58/577,386.70
  6. Step 6: Final answer
    x = 266,863.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.