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Finding the Fourth Proportional to 299,405.60, 413,156.40 and 172,054.16

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Solution

The fourth proportional to 299,405.60, 413,156.40 and 172,054.16 is: 237,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,405.60 : 413,156.40 = 172,054.16 : x
  2. Step 2: Convert to fraction form
    299,405.60/413,156.40 = 172,054.16/x
  3. Step 3: Cross multiply
    299,405.60x = 413,156.40 × 172,054.16
  4. Step 4: Simplify right side
    299,405.60x = 71,085,277,350.62
  5. Step 5: Solve for x
    x = 71,085,277,350.62/299,405.60
  6. Step 6: Final answer
    x = 237,421.34

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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.