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Finding the Fourth Proportional to 540,716.34, 746,192.42 and 295,702.18

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Solution

The fourth proportional to 540,716.34, 746,192.42 and 295,702.18 is: 408,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,716.34 : 746,192.42 = 295,702.18 : x
  2. Step 2: Convert to fraction form
    540,716.34/746,192.42 = 295,702.18/x
  3. Step 3: Cross multiply
    540,716.34x = 746,192.42 × 295,702.18
  4. Step 4: Simplify right side
    540,716.34x = 220,650,725,293.48
  5. Step 5: Solve for x
    x = 220,650,725,293.48/540,716.34
  6. Step 6: Final answer
    x = 408,071.13

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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.