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Finding the Fourth Proportional to 463,947, 695,920.50 and 113,739

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Solution

The fourth proportional to 463,947, 695,920.50 and 113,739 is: 170,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,947 : 695,920.50 = 113,739 : x
  2. Step 2: Convert to fraction form
    463,947/695,920.50 = 113,739/x
  3. Step 3: Cross multiply
    463,947x = 695,920.50 × 113,739
  4. Step 4: Simplify right side
    463,947x = 79,153,301,749.50
  5. Step 5: Solve for x
    x = 79,153,301,749.50/463,947
  6. Step 6: Final answer
    x = 170,608.50

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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.