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Finding the Fourth Proportional to 431,908.32, 595,712.16 and 317,150.94

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Solution

The fourth proportional to 431,908.32, 595,712.16 and 317,150.94 is: 437,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,908.32 : 595,712.16 = 317,150.94 : x
  2. Step 2: Convert to fraction form
    431,908.32/595,712.16 = 317,150.94/x
  3. Step 3: Cross multiply
    431,908.32x = 595,712.16 × 317,150.94
  4. Step 4: Simplify right side
    431,908.32x = 188,930,671,513.43
  5. Step 5: Solve for x
    x = 188,930,671,513.43/431,908.32
  6. Step 6: Final answer
    x = 437,432.35

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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.