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Finding the Fourth Proportional to 357,527.24, 536,287.90 and 144,291.88

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Solution

The fourth proportional to 357,527.24, 536,287.90 and 144,291.88 is: 216,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,527.24 : 536,287.90 = 144,291.88 : x
  2. Step 2: Convert to fraction form
    357,527.24/536,287.90 = 144,291.88/x
  3. Step 3: Cross multiply
    357,527.24x = 536,287.90 × 144,291.88
  4. Step 4: Simplify right side
    357,527.24x = 77,381,989,312.25
  5. Step 5: Solve for x
    x = 77,381,989,312.25/357,527.24
  6. Step 6: Final answer
    x = 216,436.63

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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.