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Finding the Fourth Proportional to 330,802.95, 496,208.26 and 314,669.04

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Solution

The fourth proportional to 330,802.95, 496,208.26 and 314,669.04 is: 472,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,802.95 : 496,208.26 = 314,669.04 : x
  2. Step 2: Convert to fraction form
    330,802.95/496,208.26 = 314,669.04/x
  3. Step 3: Cross multiply
    330,802.95x = 496,208.26 × 314,669.04
  4. Step 4: Simplify right side
    330,802.95x = 156,141,375,346.83
  5. Step 5: Solve for x
    x = 156,141,375,346.83/330,802.95
  6. Step 6: Final answer
    x = 472,007.20

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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.