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Finding the Fourth Proportional to 418,442.52, 627,668.16 and 165,784.50

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Solution

The fourth proportional to 418,442.52, 627,668.16 and 165,784.50 is: 248,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,442.52 : 627,668.16 = 165,784.50 : x
  2. Step 2: Convert to fraction form
    418,442.52/627,668.16 = 165,784.50/x
  3. Step 3: Cross multiply
    418,442.52x = 627,668.16 × 165,784.50
  4. Step 4: Simplify right side
    418,442.52x = 104,057,652,071.52
  5. Step 5: Solve for x
    x = 104,057,652,071.52/418,442.52
  6. Step 6: Final answer
    x = 248,678.49

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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.