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Finding the Fourth Proportional to 284,648.81, 392,816.57 and 155,589.89

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Solution

The fourth proportional to 284,648.81, 392,816.57 and 155,589.89 is: 214,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,648.81 : 392,816.57 = 155,589.89 : x
  2. Step 2: Convert to fraction form
    284,648.81/392,816.57 = 155,589.89/x
  3. Step 3: Cross multiply
    284,648.81x = 392,816.57 × 155,589.89
  4. Step 4: Simplify right side
    284,648.81x = 61,118,284,174.45
  5. Step 5: Solve for x
    x = 61,118,284,174.45/284,648.81
  6. Step 6: Final answer
    x = 214,714.70

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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.