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Finding the Fourth Proportional to 417,658.36, 576,368.30 and 236,367

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Solution

The fourth proportional to 417,658.36, 576,368.30 and 236,367 is: 326,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658.36 : 576,368.30 = 236,367 : x
  2. Step 2: Convert to fraction form
    417,658.36/576,368.30 = 236,367/x
  3. Step 3: Cross multiply
    417,658.36x = 576,368.30 × 236,367
  4. Step 4: Simplify right side
    417,658.36x = 136,234,445,966.10
  5. Step 5: Solve for x
    x = 136,234,445,966.10/417,658.36
  6. Step 6: Final answer
    x = 326,186.33

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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.