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Finding the Fourth Proportional to 431,867.16, 595,668.12 and 374,403.72

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Solution

The fourth proportional to 431,867.16, 595,668.12 and 374,403.72 is: 516,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,867.16 : 595,668.12 = 374,403.72 : x
  2. Step 2: Convert to fraction form
    431,867.16/595,668.12 = 374,403.72/x
  3. Step 3: Cross multiply
    431,867.16x = 595,668.12 × 374,403.72
  4. Step 4: Simplify right side
    431,867.16x = 223,020,360,013.41
  5. Step 5: Solve for x
    x = 223,020,360,013.41/431,867.16
  6. Step 6: Final answer
    x = 516,409.63

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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.