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Finding the Fourth Proportional to 284,967.60, 393,248.16 and 164,106.24

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Solution

The fourth proportional to 284,967.60, 393,248.16 and 164,106.24 is: 226,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,967.60 : 393,248.16 = 164,106.24 : x
  2. Step 2: Convert to fraction form
    284,967.60/393,248.16 = 164,106.24/x
  3. Step 3: Cross multiply
    284,967.60x = 393,248.16 × 164,106.24
  4. Step 4: Simplify right side
    284,967.60x = 64,534,476,924.52
  5. Step 5: Solve for x
    x = 64,534,476,924.52/284,967.60
  6. Step 6: Final answer
    x = 226,462.51

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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.