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Finding the Fourth Proportional to 517,452.42, 714,083.24 and 291,097.92

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Solution

The fourth proportional to 517,452.42, 714,083.24 and 291,097.92 is: 401,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,452.42 : 714,083.24 = 291,097.92 : x
  2. Step 2: Convert to fraction form
    517,452.42/714,083.24 = 291,097.92/x
  3. Step 3: Cross multiply
    517,452.42x = 714,083.24 × 291,097.92
  4. Step 4: Simplify right side
    517,452.42x = 207,868,144,415.37
  5. Step 5: Solve for x
    x = 207,868,144,415.37/517,452.42
  6. Step 6: Final answer
    x = 401,714.51

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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.