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Finding the Fourth Proportional to 642,041.50, 962,225.26 and 357,720.56

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Solution

The fourth proportional to 642,041.50, 962,225.26 and 357,720.56 is: 536,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,041.50 : 962,225.26 = 357,720.56 : x
  2. Step 2: Convert to fraction form
    642,041.50/962,225.26 = 357,720.56/x
  3. Step 3: Cross multiply
    642,041.50x = 962,225.26 × 357,720.56
  4. Step 4: Simplify right side
    642,041.50x = 344,207,758,853.35
  5. Step 5: Solve for x
    x = 344,207,758,853.35/642,041.50
  6. Step 6: Final answer
    x = 536,114.50

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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.