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Finding the Fourth Proportional to 356,897.39, 534,870.41 and 188,378.10

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Solution

The fourth proportional to 356,897.39, 534,870.41 and 188,378.10 is: 282,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,897.39 : 534,870.41 = 188,378.10 : x
  2. Step 2: Convert to fraction form
    356,897.39/534,870.41 = 188,378.10/x
  3. Step 3: Cross multiply
    356,897.39x = 534,870.41 × 188,378.10
  4. Step 4: Simplify right side
    356,897.39x = 100,757,870,640.13
  5. Step 5: Solve for x
    x = 100,757,870,640.13/356,897.39
  6. Step 6: Final answer
    x = 282,316.08

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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.