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Finding the Fourth Proportional to 570,982.44, 787,599 and 367,298.64

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Solution

The fourth proportional to 570,982.44, 787,599 and 367,298.64 is: 506,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,982.44 : 787,599 = 367,298.64 : x
  2. Step 2: Convert to fraction form
    570,982.44/787,599 = 367,298.64/x
  3. Step 3: Cross multiply
    570,982.44x = 787,599 × 367,298.64
  4. Step 4: Simplify right side
    570,982.44x = 289,284,041,565.36
  5. Step 5: Solve for x
    x = 289,284,041,565.36/570,982.44
  6. Step 6: Final answer
    x = 506,642.62

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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.