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Finding the Fourth Proportional to 297,835.80, 411,014.32 and 170,512.34

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Solution

The fourth proportional to 297,835.80, 411,014.32 and 170,512.34 is: 235,307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,835.80 : 411,014.32 = 170,512.34 : x
  2. Step 2: Convert to fraction form
    297,835.80/411,014.32 = 170,512.34/x
  3. Step 3: Cross multiply
    297,835.80x = 411,014.32 × 170,512.34
  4. Step 4: Simplify right side
    297,835.80x = 70,083,013,476.71
  5. Step 5: Solve for x
    x = 70,083,013,476.71/297,835.80
  6. Step 6: Final answer
    x = 235,307.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.