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Finding the Fourth Proportional to 537,141.60, 804,740.40 and 256,039.20

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Solution

The fourth proportional to 537,141.60, 804,740.40 and 256,039.20 is: 383,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,141.60 : 804,740.40 = 256,039.20 : x
  2. Step 2: Convert to fraction form
    537,141.60/804,740.40 = 256,039.20/x
  3. Step 3: Cross multiply
    537,141.60x = 804,740.40 × 256,039.20
  4. Step 4: Simplify right side
    537,141.60x = 206,045,088,223.68
  5. Step 5: Solve for x
    x = 206,045,088,223.68/537,141.60
  6. Step 6: Final answer
    x = 383,595.48

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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.