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Finding the Fourth Proportional to 318,302.40, 477,452.01 and 78,415.83

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Solution

The fourth proportional to 318,302.40, 477,452.01 and 78,415.83 is: 117,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,302.40 : 477,452.01 = 78,415.83 : x
  2. Step 2: Convert to fraction form
    318,302.40/477,452.01 = 78,415.83/x
  3. Step 3: Cross multiply
    318,302.40x = 477,452.01 × 78,415.83
  4. Step 4: Simplify right side
    318,302.40x = 37,439,795,649.32
  5. Step 5: Solve for x
    x = 37,439,795,649.32/318,302.40
  6. Step 6: Final answer
    x = 117,623.35

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1.5x scale

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.