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Finding the Fourth Proportional to 537,359, 741,559.74 and 298,895

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Solution

The fourth proportional to 537,359, 741,559.74 and 298,895 is: 412,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,359 : 741,559.74 = 298,895 : x
  2. Step 2: Convert to fraction form
    537,359/741,559.74 = 298,895/x
  3. Step 3: Cross multiply
    537,359x = 741,559.74 × 298,895
  4. Step 4: Simplify right side
    537,359x = 221,648,498,487.30
  5. Step 5: Solve for x
    x = 221,648,498,487.30/537,359
  6. Step 6: Final answer
    x = 412,477.50

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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.