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Finding the Fourth Proportional to 431,541.59, 595,249.47 and 286,344.23

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Solution

The fourth proportional to 431,541.59, 595,249.47 and 286,344.23 is: 394,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,541.59 : 595,249.47 = 286,344.23 : x
  2. Step 2: Convert to fraction form
    431,541.59/595,249.47 = 286,344.23/x
  3. Step 3: Cross multiply
    431,541.59x = 595,249.47 × 286,344.23
  4. Step 4: Simplify right side
    431,541.59x = 170,446,248,168.81
  5. Step 5: Solve for x
    x = 170,446,248,168.81/431,541.59
  6. Step 6: Final answer
    x = 394,970.62

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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.