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Finding the Fourth Proportional to 476,142.84, 714,136.32 and 176,553

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Solution

The fourth proportional to 476,142.84, 714,136.32 and 176,553 is: 264,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,142.84 : 714,136.32 = 176,553 : x
  2. Step 2: Convert to fraction form
    476,142.84/714,136.32 = 176,553/x
  3. Step 3: Cross multiply
    476,142.84x = 714,136.32 × 176,553
  4. Step 4: Simplify right side
    476,142.84x = 126,082,909,704.96
  5. Step 5: Solve for x
    x = 126,082,909,704.96/476,142.84
  6. Step 6: Final answer
    x = 264,800.60

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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.