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Finding the Fourth Proportional to 384,046.60, 576,069.90 and 265,851.40

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Solution

The fourth proportional to 384,046.60, 576,069.90 and 265,851.40 is: 398,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,046.60 : 576,069.90 = 265,851.40 : x
  2. Step 2: Convert to fraction form
    384,046.60/576,069.90 = 265,851.40/x
  3. Step 3: Cross multiply
    384,046.60x = 576,069.90 × 265,851.40
  4. Step 4: Simplify right side
    384,046.60x = 153,148,989,412.86
  5. Step 5: Solve for x
    x = 153,148,989,412.86/384,046.60
  6. Step 6: Final answer
    x = 398,777.10

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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.