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Finding the Fourth Proportional to 417,186.68, 575,714.16 and 235,934.20

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Solution

The fourth proportional to 417,186.68, 575,714.16 and 235,934.20 is: 325,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,186.68 : 575,714.16 = 235,934.20 : x
  2. Step 2: Convert to fraction form
    417,186.68/575,714.16 = 235,934.20/x
  3. Step 3: Cross multiply
    417,186.68x = 575,714.16 × 235,934.20
  4. Step 4: Simplify right side
    417,186.68x = 135,830,659,768.27
  5. Step 5: Solve for x
    x = 135,830,659,768.27/417,186.68
  6. Step 6: Final answer
    x = 325,587.24

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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.