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Finding the Fourth Proportional to 314,814.92, 472,314.68 and 101,615.73

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Solution

The fourth proportional to 314,814.92, 472,314.68 and 101,615.73 is: 152,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,814.92 : 472,314.68 = 101,615.73 : x
  2. Step 2: Convert to fraction form
    314,814.92/472,314.68 = 101,615.73/x
  3. Step 3: Cross multiply
    314,814.92x = 472,314.68 × 101,615.73
  4. Step 4: Simplify right side
    314,814.92x = 47,994,600,489.84
  5. Step 5: Solve for x
    x = 47,994,600,489.84/314,814.92
  6. Step 6: Final answer
    x = 152,453.39

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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.