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Finding the Fourth Proportional to 314,494.24, 434,002.08 and 171,254.24

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Solution

The fourth proportional to 314,494.24, 434,002.08 and 171,254.24 is: 236,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,494.24 : 434,002.08 = 171,254.24 : x
  2. Step 2: Convert to fraction form
    314,494.24/434,002.08 = 171,254.24/x
  3. Step 3: Cross multiply
    314,494.24x = 434,002.08 × 171,254.24
  4. Step 4: Simplify right side
    314,494.24x = 74,324,696,368.82
  5. Step 5: Solve for x
    x = 74,324,696,368.82/314,494.24
  6. Step 6: Final answer
    x = 236,330.87

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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.