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Finding the Fourth Proportional to 410,710.50, 566,780.49 and 231,862.50

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Solution

The fourth proportional to 410,710.50, 566,780.49 and 231,862.50 is: 319,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,710.50 : 566,780.49 = 231,862.50 : x
  2. Step 2: Convert to fraction form
    410,710.50/566,780.49 = 231,862.50/x
  3. Step 3: Cross multiply
    410,710.50x = 566,780.49 × 231,862.50
  4. Step 4: Simplify right side
    410,710.50x = 131,415,141,362.63
  5. Step 5: Solve for x
    x = 131,415,141,362.63/410,710.50
  6. Step 6: Final answer
    x = 319,970.25

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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.