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Finding the Fourth Proportional to 343,262.17, 514,766.89 and 118,564.93

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Solution

The fourth proportional to 343,262.17, 514,766.89 and 118,564.93 is: 177,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,262.17 : 514,766.89 = 118,564.93 : x
  2. Step 2: Convert to fraction form
    343,262.17/514,766.89 = 118,564.93/x
  3. Step 3: Cross multiply
    343,262.17x = 514,766.89 × 118,564.93
  4. Step 4: Simplify right side
    343,262.17x = 61,033,300,279.17
  5. Step 5: Solve for x
    x = 61,033,300,279.17/343,262.17
  6. Step 6: Final answer
    x = 177,803.75

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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.