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Finding the Fourth Proportional to 334,269.50, 461,292 and 183,366.50

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Solution

The fourth proportional to 334,269.50, 461,292 and 183,366.50 is: 253,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,269.50 : 461,292 = 183,366.50 : x
  2. Step 2: Convert to fraction form
    334,269.50/461,292 = 183,366.50/x
  3. Step 3: Cross multiply
    334,269.50x = 461,292 × 183,366.50
  4. Step 4: Simplify right side
    334,269.50x = 84,585,499,518
  5. Step 5: Solve for x
    x = 84,585,499,518/334,269.50
  6. Step 6: Final answer
    x = 253,045.82

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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.