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Finding the Fourth Proportional to 532,043.92, 734,197.80 and 290,320.48

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Solution

The fourth proportional to 532,043.92, 734,197.80 and 290,320.48 is: 400,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,043.92 : 734,197.80 = 290,320.48 : x
  2. Step 2: Convert to fraction form
    532,043.92/734,197.80 = 290,320.48/x
  3. Step 3: Cross multiply
    532,043.92x = 734,197.80 × 290,320.48
  4. Step 4: Simplify right side
    532,043.92x = 213,152,657,710.94
  5. Step 5: Solve for x
    x = 213,152,657,710.94/532,043.92
  6. Step 6: Final answer
    x = 400,629.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.