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Finding the Fourth Proportional to 713,472.64, 1,069,356 and 543,673.96

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Solution

The fourth proportional to 713,472.64, 1,069,356 and 543,673.96 is: 814,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,472.64 : 1,069,356 = 543,673.96 : x
  2. Step 2: Convert to fraction form
    713,472.64/1,069,356 = 543,673.96/x
  3. Step 3: Cross multiply
    713,472.64x = 1,069,356 × 543,673.96
  4. Step 4: Simplify right side
    713,472.64x = 581,381,011,169.76
  5. Step 5: Solve for x
    x = 581,381,011,169.76/713,472.64
  6. Step 6: Final answer
    x = 814,860.98

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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.