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Finding the Fourth Proportional to 411,054.38, 616,582.36 and 158,453.82

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Solution

The fourth proportional to 411,054.38, 616,582.36 and 158,453.82 is: 237,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,054.38 : 616,582.36 = 158,453.82 : x
  2. Step 2: Convert to fraction form
    411,054.38/616,582.36 = 158,453.82/x
  3. Step 3: Cross multiply
    411,054.38x = 616,582.36 × 158,453.82
  4. Step 4: Simplify right side
    411,054.38x = 97,699,830,286.62
  5. Step 5: Solve for x
    x = 97,699,830,286.62/411,054.38
  6. Step 6: Final answer
    x = 237,681.03

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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.