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Finding the Fourth Proportional to 295,229.90, 407,267.90 and 172,642.11

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Solution

The fourth proportional to 295,229.90, 407,267.90 and 172,642.11 is: 238,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,229.90 : 407,267.90 = 172,642.11 : x
  2. Step 2: Convert to fraction form
    295,229.90/407,267.90 = 172,642.11/x
  3. Step 3: Cross multiply
    295,229.90x = 407,267.90 × 172,642.11
  4. Step 4: Simplify right side
    295,229.90x = 70,311,588,728.06
  5. Step 5: Solve for x
    x = 70,311,588,728.06/295,229.90
  6. Step 6: Final answer
    x = 238,158.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.