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Finding the Fourth Proportional to 342,913.40, 514,371.90 and 93,595.40

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Solution

The fourth proportional to 342,913.40, 514,371.90 and 93,595.40 is: 140,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,913.40 : 514,371.90 = 93,595.40 : x
  2. Step 2: Convert to fraction form
    342,913.40/514,371.90 = 93,595.40/x
  3. Step 3: Cross multiply
    342,913.40x = 514,371.90 × 93,595.40
  4. Step 4: Simplify right side
    342,913.40x = 48,142,843,729.26
  5. Step 5: Solve for x
    x = 48,142,843,729.26/342,913.40
  6. Step 6: Final answer
    x = 140,393.59

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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.