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Finding the Fourth Proportional to 318,294.50, 477,441.74 and 149,710.01

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Solution

The fourth proportional to 318,294.50, 477,441.74 and 149,710.01 is: 224,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,294.50 : 477,441.74 = 149,710.01 : x
  2. Step 2: Convert to fraction form
    318,294.50/477,441.74 = 149,710.01/x
  3. Step 3: Cross multiply
    318,294.50x = 477,441.74 × 149,710.01
  4. Step 4: Simplify right side
    318,294.50x = 71,477,805,656.88
  5. Step 5: Solve for x
    x = 71,477,805,656.88/318,294.50
  6. Step 6: Final answer
    x = 224,565.01

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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.