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Finding the Fourth Proportional to 563,608.40, 845,527.80 and 189,669.20

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Solution

The fourth proportional to 563,608.40, 845,527.80 and 189,669.20 is: 284,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,608.40 : 845,527.80 = 189,669.20 : x
  2. Step 2: Convert to fraction form
    563,608.40/845,527.80 = 189,669.20/x
  3. Step 3: Cross multiply
    563,608.40x = 845,527.80 × 189,669.20
  4. Step 4: Simplify right side
    563,608.40x = 160,370,581,403.76
  5. Step 5: Solve for x
    x = 160,370,581,403.76/563,608.40
  6. Step 6: Final answer
    x = 284,542.57

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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.