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Finding the Fourth Proportional to 447,051.87, 616,947.81 and 256,102.17

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Solution

The fourth proportional to 447,051.87, 616,947.81 and 256,102.17 is: 353,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,051.87 : 616,947.81 = 256,102.17 : x
  2. Step 2: Convert to fraction form
    447,051.87/616,947.81 = 256,102.17/x
  3. Step 3: Cross multiply
    447,051.87x = 616,947.81 × 256,102.17
  4. Step 4: Simplify right side
    447,051.87x = 158,001,672,917.75
  5. Step 5: Solve for x
    x = 158,001,672,917.75/447,051.87
  6. Step 6: Final answer
    x = 353,430.29

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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.