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Finding the Fourth Proportional to 342,465.32, 513,479.28 and 164,618.48

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Solution

The fourth proportional to 342,465.32, 513,479.28 and 164,618.48 is: 246,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,465.32 : 513,479.28 = 164,618.48 : x
  2. Step 2: Convert to fraction form
    342,465.32/513,479.28 = 164,618.48/x
  3. Step 3: Cross multiply
    342,465.32x = 513,479.28 × 164,618.48
  4. Step 4: Simplify right side
    342,465.32x = 84,528,178,585.09
  5. Step 5: Solve for x
    x = 84,528,178,585.09/342,465.32
  6. Step 6: Final answer
    x = 246,822.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.