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Finding the Fourth Proportional to 341,909.40, 512,864.10 and 164,762.40

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Solution

The fourth proportional to 341,909.40, 512,864.10 and 164,762.40 is: 247,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,909.40 : 512,864.10 = 164,762.40 : x
  2. Step 2: Convert to fraction form
    341,909.40/512,864.10 = 164,762.40/x
  3. Step 3: Cross multiply
    341,909.40x = 512,864.10 × 164,762.40
  4. Step 4: Simplify right side
    341,909.40x = 84,500,719,989.84
  5. Step 5: Solve for x
    x = 84,500,719,989.84/341,909.40
  6. Step 6: Final answer
    x = 247,143.60

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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.