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Finding the Fourth Proportional to 462,482.73, 693,709.38 and 209,578.05

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Solution

The fourth proportional to 462,482.73, 693,709.38 and 209,578.05 is: 314,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,482.73 : 693,709.38 = 209,578.05 : x
  2. Step 2: Convert to fraction form
    462,482.73/693,709.38 = 209,578.05/x
  3. Step 3: Cross multiply
    462,482.73x = 693,709.38 × 209,578.05
  4. Step 4: Simplify right side
    462,482.73x = 145,386,259,127.11
  5. Step 5: Solve for x
    x = 145,386,259,127.11/462,482.73
  6. Step 6: Final answer
    x = 314,360.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.