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Finding the Fourth Proportional to 419,157.99, 577,157.10 and 315,942.15

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Solution

The fourth proportional to 419,157.99, 577,157.10 and 315,942.15 is: 435,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,157.99 : 577,157.10 = 315,942.15 : x
  2. Step 2: Convert to fraction form
    419,157.99/577,157.10 = 315,942.15/x
  3. Step 3: Cross multiply
    419,157.99x = 577,157.10 × 315,942.15
  4. Step 4: Simplify right side
    419,157.99x = 182,348,255,061.77
  5. Step 5: Solve for x
    x = 182,348,255,061.77/419,157.99
  6. Step 6: Final answer
    x = 435,034.66

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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.