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Finding the Fourth Proportional to 354,071.47, 531,264.18 and 185,551.72

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Solution

The fourth proportional to 354,071.47, 531,264.18 and 185,551.72 is: 278,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,071.47 : 531,264.18 = 185,551.72 : x
  2. Step 2: Convert to fraction form
    354,071.47/531,264.18 = 185,551.72/x
  3. Step 3: Cross multiply
    354,071.47x = 531,264.18 × 185,551.72
  4. Step 4: Simplify right side
    354,071.47x = 98,576,982,373.39
  5. Step 5: Solve for x
    x = 98,576,982,373.39/354,071.47
  6. Step 6: Final answer
    x = 278,409.84

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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.