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Finding the Fourth Proportional to 537,643.67, 806,464.37 and 158,830.38

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Solution

The fourth proportional to 537,643.67, 806,464.37 and 158,830.38 is: 238,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,643.67 : 806,464.37 = 158,830.38 : x
  2. Step 2: Convert to fraction form
    537,643.67/806,464.37 = 158,830.38/x
  3. Step 3: Cross multiply
    537,643.67x = 806,464.37 × 158,830.38
  4. Step 4: Simplify right side
    537,643.67x = 128,091,041,549.41
  5. Step 5: Solve for x
    x = 128,091,041,549.41/537,643.67
  6. Step 6: Final answer
    x = 238,245.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.