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Finding the Fourth Proportional to 325,615.30, 488,538.15 and 314,095.30

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Solution

The fourth proportional to 325,615.30, 488,538.15 and 314,095.30 is: 471,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,615.30 : 488,538.15 = 314,095.30 : x
  2. Step 2: Convert to fraction form
    325,615.30/488,538.15 = 314,095.30/x
  3. Step 3: Cross multiply
    325,615.30x = 488,538.15 × 314,095.30
  4. Step 4: Simplify right side
    325,615.30x = 153,447,536,785.70
  5. Step 5: Solve for x
    x = 153,447,536,785.70/325,615.30
  6. Step 6: Final answer
    x = 471,254.07

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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.