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Finding the Fourth Proportional to 294,800.31, 406,973.97 and 173,978.28

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Solution

The fourth proportional to 294,800.31, 406,973.97 and 173,978.28 is: 240,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,800.31 : 406,973.97 = 173,978.28 : x
  2. Step 2: Convert to fraction form
    294,800.31/406,973.97 = 173,978.28/x
  3. Step 3: Cross multiply
    294,800.31x = 406,973.97 × 173,978.28
  4. Step 4: Simplify right side
    294,800.31x = 70,804,631,305.37
  5. Step 5: Solve for x
    x = 70,804,631,305.37/294,800.31
  6. Step 6: Final answer
    x = 240,178.28

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1.5x scale

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.