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Finding the Fourth Proportional to 410,097.84, 566,291.01 and 257,400.66

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Solution

The fourth proportional to 410,097.84, 566,291.01 and 257,400.66 is: 355,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.84 : 566,291.01 = 257,400.66 : x
  2. Step 2: Convert to fraction form
    410,097.84/566,291.01 = 257,400.66/x
  3. Step 3: Cross multiply
    410,097.84x = 566,291.01 × 257,400.66
  4. Step 4: Simplify right side
    410,097.84x = 145,763,679,726.07
  5. Step 5: Solve for x
    x = 145,763,679,726.07/410,097.84
  6. Step 6: Final answer
    x = 355,436.35

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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.