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Finding the Fourth Proportional to 517,039.40, 713,514.34 and 290,684.90

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Solution

The fourth proportional to 517,039.40, 713,514.34 and 290,684.90 is: 401,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,039.40 : 713,514.34 = 290,684.90 : x
  2. Step 2: Convert to fraction form
    517,039.40/713,514.34 = 290,684.90/x
  3. Step 3: Cross multiply
    517,039.40x = 713,514.34 × 290,684.90
  4. Step 4: Simplify right side
    517,039.40x = 207,407,847,536.16
  5. Step 5: Solve for x
    x = 207,407,847,536.16/517,039.40
  6. Step 6: Final answer
    x = 401,145.15

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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.