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Finding the Fourth Proportional to 284,594.16, 392,727.16 and 157,267

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Solution

The fourth proportional to 284,594.16, 392,727.16 and 157,267 is: 217,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,594.16 : 392,727.16 = 157,267 : x
  2. Step 2: Convert to fraction form
    284,594.16/392,727.16 = 157,267/x
  3. Step 3: Cross multiply
    284,594.16x = 392,727.16 × 157,267
  4. Step 4: Simplify right side
    284,594.16x = 61,763,022,271.72
  5. Step 5: Solve for x
    x = 61,763,022,271.72/284,594.16
  6. Step 6: Final answer
    x = 217,021.40

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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.