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Finding the Fourth Proportional to 295,142.76, 407,295.13 and 167,818.35

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Solution

The fourth proportional to 295,142.76, 407,295.13 and 167,818.35 is: 231,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,142.76 : 407,295.13 = 167,818.35 : x
  2. Step 2: Convert to fraction form
    295,142.76/407,295.13 = 167,818.35/x
  3. Step 3: Cross multiply
    295,142.76x = 407,295.13 × 167,818.35
  4. Step 4: Simplify right side
    295,142.76x = 68,351,596,679.64
  5. Step 5: Solve for x
    x = 68,351,596,679.64/295,142.76
  6. Step 6: Final answer
    x = 231,588.25

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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.