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Finding the Fourth Proportional to 310,690.98, 465,034.08 and 160,724.76

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Solution

The fourth proportional to 310,690.98, 465,034.08 and 160,724.76 is: 240,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,690.98 : 465,034.08 = 160,724.76 : x
  2. Step 2: Convert to fraction form
    310,690.98/465,034.08 = 160,724.76/x
  3. Step 3: Cross multiply
    310,690.98x = 465,034.08 × 160,724.76
  4. Step 4: Simplify right side
    310,690.98x = 74,742,490,899.82
  5. Step 5: Solve for x
    x = 74,742,490,899.82/310,690.98
  6. Step 6: Final answer
    x = 240,568.59

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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.