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Finding the Fourth Proportional to 294,327.40, 406,159.72 and 167,000.28

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Solution

The fourth proportional to 294,327.40, 406,159.72 and 167,000.28 is: 230,453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,327.40 : 406,159.72 = 167,000.28 : x
  2. Step 2: Convert to fraction form
    294,327.40/406,159.72 = 167,000.28/x
  3. Step 3: Cross multiply
    294,327.40x = 406,159.72 × 167,000.28
  4. Step 4: Simplify right side
    294,327.40x = 67,828,786,964.72
  5. Step 5: Solve for x
    x = 67,828,786,964.72/294,327.40
  6. Step 6: Final answer
    x = 230,453.53

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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.