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Finding the Fourth Proportional to 456,759, 685,203.84 and 141,240.24

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Solution

The fourth proportional to 456,759, 685,203.84 and 141,240.24 is: 211,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,759 : 685,203.84 = 141,240.24 : x
  2. Step 2: Convert to fraction form
    456,759/685,203.84 = 141,240.24/x
  3. Step 3: Cross multiply
    456,759x = 685,203.84 × 141,240.24
  4. Step 4: Simplify right side
    456,759x = 96,778,354,810.52
  5. Step 5: Solve for x
    x = 96,778,354,810.52/456,759
  6. Step 6: Final answer
    x = 211,880.56

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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.