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Finding the Fourth Proportional to 509,926.24, 703,572.24 and 318,844

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Solution

The fourth proportional to 509,926.24, 703,572.24 and 318,844 is: 439,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,926.24 : 703,572.24 = 318,844 : x
  2. Step 2: Convert to fraction form
    509,926.24/703,572.24 = 318,844/x
  3. Step 3: Cross multiply
    509,926.24x = 703,572.24 × 318,844
  4. Step 4: Simplify right side
    509,926.24x = 224,329,787,290.56
  5. Step 5: Solve for x
    x = 224,329,787,290.56/509,926.24
  6. Step 6: Final answer
    x = 439,925.95

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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.