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Finding the Fourth Proportional to 367,787.59, 507,547.32 and 206,642.54

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Solution

The fourth proportional to 367,787.59, 507,547.32 and 206,642.54 is: 285,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,787.59 : 507,547.32 = 206,642.54 : x
  2. Step 2: Convert to fraction form
    367,787.59/507,547.32 = 206,642.54/x
  3. Step 3: Cross multiply
    367,787.59x = 507,547.32 × 206,642.54
  4. Step 4: Simplify right side
    367,787.59x = 104,880,867,868.95
  5. Step 5: Solve for x
    x = 104,880,867,868.95/367,787.59
  6. Step 6: Final answer
    x = 285,166.96

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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.