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Finding the Fourth Proportional to 314,510.25, 471,769.02 and 77,854.98

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Solution

The fourth proportional to 314,510.25, 471,769.02 and 77,854.98 is: 116,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,510.25 : 471,769.02 = 77,854.98 : x
  2. Step 2: Convert to fraction form
    314,510.25/471,769.02 = 77,854.98/x
  3. Step 3: Cross multiply
    314,510.25x = 471,769.02 × 77,854.98
  4. Step 4: Simplify right side
    314,510.25x = 36,729,567,616.72
  5. Step 5: Solve for x
    x = 36,729,567,616.72/314,510.25
  6. Step 6: Final answer
    x = 116,783.37

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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.