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Finding the Fourth Proportional to 401,766.84, 602,086.86 and 288,916.02

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Solution

The fourth proportional to 401,766.84, 602,086.86 and 288,916.02 is: 432,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,766.84 : 602,086.86 = 288,916.02 : x
  2. Step 2: Convert to fraction form
    401,766.84/602,086.86 = 288,916.02/x
  3. Step 3: Cross multiply
    401,766.84x = 602,086.86 × 288,916.02
  4. Step 4: Simplify right side
    401,766.84x = 173,952,539,285.50
  5. Step 5: Solve for x
    x = 173,952,539,285.50/401,766.84
  6. Step 6: Final answer
    x = 432,968.88

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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.