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Finding the Fourth Proportional to 288,457.90, 432,687.16 and 75,225.66

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Solution

The fourth proportional to 288,457.90, 432,687.16 and 75,225.66 is: 112,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457.90 : 432,687.16 = 75,225.66 : x
  2. Step 2: Convert to fraction form
    288,457.90/432,687.16 = 75,225.66/x
  3. Step 3: Cross multiply
    288,457.90x = 432,687.16 × 75,225.66
  4. Step 4: Simplify right side
    288,457.90x = 32,549,177,184.53
  5. Step 5: Solve for x
    x = 32,549,177,184.53/288,457.90
  6. Step 6: Final answer
    x = 112,838.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.