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Finding the Fourth Proportional to 410,159.76, 565,952.52 and 273,975.24

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Solution

The fourth proportional to 410,159.76, 565,952.52 and 273,975.24 is: 378,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,159.76 : 565,952.52 = 273,975.24 : x
  2. Step 2: Convert to fraction form
    410,159.76/565,952.52 = 273,975.24/x
  3. Step 3: Cross multiply
    410,159.76x = 565,952.52 × 273,975.24
  4. Step 4: Simplify right side
    410,159.76x = 155,056,977,495.61
  5. Step 5: Solve for x
    x = 155,056,977,495.61/410,159.76
  6. Step 6: Final answer
    x = 378,040.44

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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.