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Finding the Fourth Proportional to 343,023.80, 514,617.44 and 118,386.17

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Solution

The fourth proportional to 343,023.80, 514,617.44 and 118,386.17 is: 177,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,023.80 : 514,617.44 = 118,386.17 : x
  2. Step 2: Convert to fraction form
    343,023.80/514,617.44 = 118,386.17/x
  3. Step 3: Cross multiply
    343,023.80x = 514,617.44 × 118,386.17
  4. Step 4: Simplify right side
    343,023.80x = 60,923,584,571.79
  5. Step 5: Solve for x
    x = 60,923,584,571.79/343,023.80
  6. Step 6: Final answer
    x = 177,607.46

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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.