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Finding the Fourth Proportional to 310,254.56, 466,081.68 and 185,683.04

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Solution

The fourth proportional to 310,254.56, 466,081.68 and 185,683.04 is: 278,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,254.56 : 466,081.68 = 185,683.04 : x
  2. Step 2: Convert to fraction form
    310,254.56/466,081.68 = 185,683.04/x
  3. Step 3: Cross multiply
    310,254.56x = 466,081.68 × 185,683.04
  4. Step 4: Simplify right side
    310,254.56x = 86,543,463,230.71
  5. Step 5: Solve for x
    x = 86,543,463,230.71/310,254.56
  6. Step 6: Final answer
    x = 278,943.40

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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.