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Finding the Fourth Proportional to 294,281, 406,151.52 and 173,383.64

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Solution

The fourth proportional to 294,281, 406,151.52 and 173,383.64 is: 239,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,281 : 406,151.52 = 173,383.64 : x
  2. Step 2: Convert to fraction form
    294,281/406,151.52 = 173,383.64/x
  3. Step 3: Cross multiply
    294,281x = 406,151.52 × 173,383.64
  4. Step 4: Simplify right side
    294,281x = 70,420,028,929.13
  5. Step 5: Solve for x
    x = 70,420,028,929.13/294,281
  6. Step 6: Final answer
    x = 239,295.19

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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.