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Finding the Fourth Proportional to 532,471.40, 797,670.30 and 295,389.80

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Solution

The fourth proportional to 532,471.40, 797,670.30 and 295,389.80 is: 442,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,471.40 : 797,670.30 = 295,389.80 : x
  2. Step 2: Convert to fraction form
    532,471.40/797,670.30 = 295,389.80/x
  3. Step 3: Cross multiply
    532,471.40x = 797,670.30 × 295,389.80
  4. Step 4: Simplify right side
    532,471.40x = 235,623,670,382.94
  5. Step 5: Solve for x
    x = 235,623,670,382.94/532,471.40
  6. Step 6: Final answer
    x = 442,509.53

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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.