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Finding the Fourth Proportional to 417,701.72, 576,422.16 and 236,448.02

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Solution

The fourth proportional to 417,701.72, 576,422.16 and 236,448.02 is: 326,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,701.72 : 576,422.16 = 236,448.02 : x
  2. Step 2: Convert to fraction form
    417,701.72/576,422.16 = 236,448.02/x
  3. Step 3: Cross multiply
    417,701.72x = 576,422.16 × 236,448.02
  4. Step 4: Simplify right side
    417,701.72x = 136,293,878,416.12
  5. Step 5: Solve for x
    x = 136,293,878,416.12/417,701.72
  6. Step 6: Final answer
    x = 326,294.75

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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.