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Finding the Fourth Proportional to 314,355.08, 469,250.31 and 290,937.17

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Solution

The fourth proportional to 314,355.08, 469,250.31 and 290,937.17 is: 434,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,355.08 : 469,250.31 = 290,937.17 : x
  2. Step 2: Convert to fraction form
    314,355.08/469,250.31 = 290,937.17/x
  3. Step 3: Cross multiply
    314,355.08x = 469,250.31 × 290,937.17
  4. Step 4: Simplify right side
    314,355.08x = 136,522,354,866.77
  5. Step 5: Solve for x
    x = 136,522,354,866.77/314,355.08
  6. Step 6: Final answer
    x = 434,293.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.