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Finding the Fourth Proportional to 610,524.65, 842,574.45 and 338,680.19

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Solution

The fourth proportional to 610,524.65, 842,574.45 and 338,680.19 is: 467,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,524.65 : 842,574.45 = 338,680.19 : x
  2. Step 2: Convert to fraction form
    610,524.65/842,574.45 = 338,680.19/x
  3. Step 3: Cross multiply
    610,524.65x = 842,574.45 × 338,680.19
  4. Step 4: Simplify right side
    610,524.65x = 285,363,270,602.27
  5. Step 5: Solve for x
    x = 285,363,270,602.27/610,524.65
  6. Step 6: Final answer
    x = 467,406.64

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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.