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Finding the Fourth Proportional to 325,852.10, 488,778.15 and 314,965.70

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Solution

The fourth proportional to 325,852.10, 488,778.15 and 314,965.70 is: 472,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,852.10 : 488,778.15 = 314,965.70 : x
  2. Step 2: Convert to fraction form
    325,852.10/488,778.15 = 314,965.70/x
  3. Step 3: Cross multiply
    325,852.10x = 488,778.15 × 314,965.70
  4. Step 4: Simplify right side
    325,852.10x = 153,948,352,159.46
  5. Step 5: Solve for x
    x = 153,948,352,159.46/325,852.10
  6. Step 6: Final answer
    x = 472,448.55

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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.