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Finding the Fourth Proportional to 294,809.97, 406,848.65 and 167,507.13

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Solution

The fourth proportional to 294,809.97, 406,848.65 and 167,507.13 is: 231,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,809.97 : 406,848.65 = 167,507.13 : x
  2. Step 2: Convert to fraction form
    294,809.97/406,848.65 = 167,507.13/x
  3. Step 3: Cross multiply
    294,809.97x = 406,848.65 × 167,507.13
  4. Step 4: Simplify right side
    294,809.97x = 68,150,048,868.34
  5. Step 5: Solve for x
    x = 68,150,048,868.34/294,809.97
  6. Step 6: Final answer
    x = 231,166.02

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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.