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Finding the Fourth Proportional to 542,841.90, 749,211.64 and 301,202.34

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Solution

The fourth proportional to 542,841.90, 749,211.64 and 301,202.34 is: 415,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,841.90 : 749,211.64 = 301,202.34 : x
  2. Step 2: Convert to fraction form
    542,841.90/749,211.64 = 301,202.34/x
  3. Step 3: Cross multiply
    542,841.90x = 749,211.64 × 301,202.34
  4. Step 4: Simplify right side
    542,841.90x = 225,664,299,123.24
  5. Step 5: Solve for x
    x = 225,664,299,123.24/542,841.90
  6. Step 6: Final answer
    x = 415,709.07

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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.