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Finding the Fourth Proportional to 294,464.70, 406,363.23 and 167,142.42

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Solution

The fourth proportional to 294,464.70, 406,363.23 and 167,142.42 is: 230,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,464.70 : 406,363.23 = 167,142.42 : x
  2. Step 2: Convert to fraction form
    294,464.70/406,363.23 = 167,142.42/x
  3. Step 3: Cross multiply
    294,464.70x = 406,363.23 × 167,142.42
  4. Step 4: Simplify right side
    294,464.70x = 67,920,533,661.22
  5. Step 5: Solve for x
    x = 67,920,533,661.22/294,464.70
  6. Step 6: Final answer
    x = 230,657.64

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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.