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Finding the Fourth Proportional to 517,298.90, 713,865.62 and 290,944.40

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Solution

The fourth proportional to 517,298.90, 713,865.62 and 290,944.40 is: 401,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,298.90 : 713,865.62 = 290,944.40 : x
  2. Step 2: Convert to fraction form
    517,298.90/713,865.62 = 290,944.40/x
  3. Step 3: Cross multiply
    517,298.90x = 713,865.62 × 290,944.40
  4. Step 4: Simplify right side
    517,298.90x = 207,695,201,649.56
  5. Step 5: Solve for x
    x = 207,695,201,649.56/517,298.90
  6. Step 6: Final answer
    x = 401,499.41

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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.