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Finding the Fourth Proportional to 341,855.40, 512,783.10 and 164,708.40

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Solution

The fourth proportional to 341,855.40, 512,783.10 and 164,708.40 is: 247,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855.40 : 512,783.10 = 164,708.40 : x
  2. Step 2: Convert to fraction form
    341,855.40/512,783.10 = 164,708.40/x
  3. Step 3: Cross multiply
    341,855.40x = 512,783.10 × 164,708.40
  4. Step 4: Simplify right side
    341,855.40x = 84,459,683,948.04
  5. Step 5: Solve for x
    x = 84,459,683,948.04/341,855.40
  6. Step 6: Final answer
    x = 247,062.60

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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.