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Finding the Fourth Proportional to 476,810.76, 714,997.62 and 284,773.08

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Solution

The fourth proportional to 476,810.76, 714,997.62 and 284,773.08 is: 427,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,810.76 : 714,997.62 = 284,773.08 : x
  2. Step 2: Convert to fraction form
    476,810.76/714,997.62 = 284,773.08/x
  3. Step 3: Cross multiply
    476,810.76x = 714,997.62 × 284,773.08
  4. Step 4: Simplify right side
    476,810.76x = 203,612,074,440.07
  5. Step 5: Solve for x
    x = 203,612,074,440.07/476,810.76
  6. Step 6: Final answer
    x = 427,029.11

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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.