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Finding the Fourth Proportional to 493,394.71, 680,901.21 and 302,371.21

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Solution

The fourth proportional to 493,394.71, 680,901.21 and 302,371.21 is: 417,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,394.71 : 680,901.21 = 302,371.21 : x
  2. Step 2: Convert to fraction form
    493,394.71/680,901.21 = 302,371.21/x
  3. Step 3: Cross multiply
    493,394.71x = 680,901.21 × 302,371.21
  4. Step 4: Simplify right side
    493,394.71x = 205,884,922,758.16
  5. Step 5: Solve for x
    x = 205,884,922,758.16/493,394.71
  6. Step 6: Final answer
    x = 417,282.39

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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.