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Finding the Fourth Proportional to 509,364.24, 702,926.82 and 318,488.28

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Solution

The fourth proportional to 509,364.24, 702,926.82 and 318,488.28 is: 439,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,364.24 : 702,926.82 = 318,488.28 : x
  2. Step 2: Convert to fraction form
    509,364.24/702,926.82 = 318,488.28/x
  3. Step 3: Cross multiply
    509,364.24x = 702,926.82 × 318,488.28
  4. Step 4: Simplify right side
    509,364.24x = 223,873,953,867.67
  5. Step 5: Solve for x
    x = 223,873,953,867.67/509,364.24
  6. Step 6: Final answer
    x = 439,516.43

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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.