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Finding the Fourth Proportional to 652,733.76, 978,427.14 and 273,874.50

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Solution

The fourth proportional to 652,733.76, 978,427.14 and 273,874.50 is: 410,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,733.76 : 978,427.14 = 273,874.50 : x
  2. Step 2: Convert to fraction form
    652,733.76/978,427.14 = 273,874.50/x
  3. Step 3: Cross multiply
    652,733.76x = 978,427.14 × 273,874.50
  4. Step 4: Simplify right side
    652,733.76x = 267,966,243,753.93
  5. Step 5: Solve for x
    x = 267,966,243,753.93/652,733.76
  6. Step 6: Final answer
    x = 410,529.16

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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.