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Finding the Fourth Proportional to 401,164.70, 553,534.70 and 257,891.90

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Solution

The fourth proportional to 401,164.70, 553,534.70 and 257,891.90 is: 355,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,164.70 : 553,534.70 = 257,891.90 : x
  2. Step 2: Convert to fraction form
    401,164.70/553,534.70 = 257,891.90/x
  3. Step 3: Cross multiply
    401,164.70x = 553,534.70 × 257,891.90
  4. Step 4: Simplify right side
    401,164.70x = 142,752,115,498.93
  5. Step 5: Solve for x
    x = 142,752,115,498.93/401,164.70
  6. Step 6: Final answer
    x = 355,844.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.