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Finding the Fourth Proportional to 232,358.60, 348,537.90 and 206,989.40

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Solution

The fourth proportional to 232,358.60, 348,537.90 and 206,989.40 is: 310,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,358.60 : 348,537.90 = 206,989.40 : x
  2. Step 2: Convert to fraction form
    232,358.60/348,537.90 = 206,989.40/x
  3. Step 3: Cross multiply
    232,358.60x = 348,537.90 × 206,989.40
  4. Step 4: Simplify right side
    232,358.60x = 72,143,650,798.26
  5. Step 5: Solve for x
    x = 72,143,650,798.26/232,358.60
  6. Step 6: Final answer
    x = 310,484.10

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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.