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Finding the Fourth Proportional to 577,386.76, 866,024.47 and 177,920.28

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Solution

The fourth proportional to 577,386.76, 866,024.47 and 177,920.28 is: 266,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,386.76 : 866,024.47 = 177,920.28 : x
  2. Step 2: Convert to fraction form
    577,386.76/866,024.47 = 177,920.28/x
  3. Step 3: Cross multiply
    577,386.76x = 866,024.47 × 177,920.28
  4. Step 4: Simplify right side
    577,386.76x = 154,083,316,189.25
  5. Step 5: Solve for x
    x = 154,083,316,189.25/577,386.76
  6. Step 6: Final answer
    x = 266,863.27

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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.