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Finding the Fourth Proportional to 852,482, 1,278,746.04 and 261,506

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Solution

The fourth proportional to 852,482, 1,278,746.04 and 261,506 is: 392,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,482 : 1,278,746.04 = 261,506 : x
  2. Step 2: Convert to fraction form
    852,482/1,278,746.04 = 261,506/x
  3. Step 3: Cross multiply
    852,482x = 1,278,746.04 × 261,506
  4. Step 4: Simplify right side
    852,482x = 334,399,761,936.24
  5. Step 5: Solve for x
    x = 334,399,761,936.24/852,482
  6. Step 6: Final answer
    x = 392,266.07

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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.