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Finding the Fourth Proportional to 510,966.36, 705,124.44 and 284,607

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Solution

The fourth proportional to 510,966.36, 705,124.44 and 284,607 is: 392,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,966.36 : 705,124.44 = 284,607 : x
  2. Step 2: Convert to fraction form
    510,966.36/705,124.44 = 284,607/x
  3. Step 3: Cross multiply
    510,966.36x = 705,124.44 × 284,607
  4. Step 4: Simplify right side
    510,966.36x = 200,683,351,495.08
  5. Step 5: Solve for x
    x = 200,683,351,495.08/510,966.36
  6. Step 6: Final answer
    x = 392,752.57

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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.