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Finding the Fourth Proportional to 463,948.28, 638,707.43 and 416,118.59

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Solution

The fourth proportional to 463,948.28, 638,707.43 and 416,118.59 is: 572,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,948.28 : 638,707.43 = 416,118.59 : x
  2. Step 2: Convert to fraction form
    463,948.28/638,707.43 = 416,118.59/x
  3. Step 3: Cross multiply
    463,948.28x = 638,707.43 × 416,118.59
  4. Step 4: Simplify right side
    463,948.28x = 265,778,029,919.99
  5. Step 5: Solve for x
    x = 265,778,029,919.99/463,948.28
  6. Step 6: Final answer
    x = 572,861.34

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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.