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Finding the Fourth Proportional to 416,617.86, 574,774.12 and 307,983.03

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Solution

The fourth proportional to 416,617.86, 574,774.12 and 307,983.03 is: 424,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,617.86 : 574,774.12 = 307,983.03 : x
  2. Step 2: Convert to fraction form
    416,617.86/574,774.12 = 307,983.03/x
  3. Step 3: Cross multiply
    416,617.86x = 574,774.12 × 307,983.03
  4. Step 4: Simplify right side
    416,617.86x = 177,020,673,272.76
  5. Step 5: Solve for x
    x = 177,020,673,272.76/416,617.86
  6. Step 6: Final answer
    x = 424,899.38

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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.