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Finding the Fourth Proportional to 310,698.98, 465,046.02 and 160,732.82

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Solution

The fourth proportional to 310,698.98, 465,046.02 and 160,732.82 is: 240,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,698.98 : 465,046.02 = 160,732.82 : x
  2. Step 2: Convert to fraction form
    310,698.98/465,046.02 = 160,732.82/x
  3. Step 3: Cross multiply
    310,698.98x = 465,046.02 × 160,732.82
  4. Step 4: Simplify right side
    310,698.98x = 74,748,158,224.38
  5. Step 5: Solve for x
    x = 74,748,158,224.38/310,698.98
  6. Step 6: Final answer
    x = 240,580.64

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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.