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Finding the Fourth Proportional to 895,706, 1,343,563.86 and 230,858

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Solution

The fourth proportional to 895,706, 1,343,563.86 and 230,858 is: 346,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,706 : 1,343,563.86 = 230,858 : x
  2. Step 2: Convert to fraction form
    895,706/1,343,563.86 = 230,858/x
  3. Step 3: Cross multiply
    895,706x = 1,343,563.86 × 230,858
  4. Step 4: Simplify right side
    895,706x = 310,172,465,591.88
  5. Step 5: Solve for x
    x = 310,172,465,591.88/895,706
  6. Step 6: Final answer
    x = 346,288.25

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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.