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Finding the Fourth Proportional to 414,859.86, 572,518.13 and 253,711.98

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Solution

The fourth proportional to 414,859.86, 572,518.13 and 253,711.98 is: 350,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,859.86 : 572,518.13 = 253,711.98 : x
  2. Step 2: Convert to fraction form
    414,859.86/572,518.13 = 253,711.98/x
  3. Step 3: Cross multiply
    414,859.86x = 572,518.13 × 253,711.98
  4. Step 4: Simplify right side
    414,859.86x = 145,254,707,079.64
  5. Step 5: Solve for x
    x = 145,254,707,079.64/414,859.86
  6. Step 6: Final answer
    x = 350,129.58

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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.