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Finding the Fourth Proportional to 339,547.60, 508,738.20 and 161,671.60

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Solution

The fourth proportional to 339,547.60, 508,738.20 and 161,671.60 is: 242,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,547.60 : 508,738.20 = 161,671.60 : x
  2. Step 2: Convert to fraction form
    339,547.60/508,738.20 = 161,671.60/x
  3. Step 3: Cross multiply
    339,547.60x = 508,738.20 × 161,671.60
  4. Step 4: Simplify right side
    339,547.60x = 82,248,518,775.12
  5. Step 5: Solve for x
    x = 82,248,518,775.12/339,547.60
  6. Step 6: Final answer
    x = 242,229.72

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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.