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Finding the Fourth Proportional to 537,758.84, 806,686.86 and 158,678.84

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Solution

The fourth proportional to 537,758.84, 806,686.86 and 158,678.84 is: 238,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,758.84 : 806,686.86 = 158,678.84 : x
  2. Step 2: Convert to fraction form
    537,758.84/806,686.86 = 158,678.84/x
  3. Step 3: Cross multiply
    537,758.84x = 806,686.86 × 158,678.84
  4. Step 4: Simplify right side
    537,758.84x = 128,004,135,188.04
  5. Step 5: Solve for x
    x = 128,004,135,188.04/537,758.84
  6. Step 6: Final answer
    x = 238,032.60

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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.