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Finding the Fourth Proportional to 284,706.78, 392,880.02 and 157,374.78

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Solution

The fourth proportional to 284,706.78, 392,880.02 and 157,374.78 is: 217,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,706.78 : 392,880.02 = 157,374.78 : x
  2. Step 2: Convert to fraction form
    284,706.78/392,880.02 = 157,374.78/x
  3. Step 3: Cross multiply
    284,706.78x = 392,880.02 × 157,374.78
  4. Step 4: Simplify right side
    284,706.78x = 61,829,405,927.02
  5. Step 5: Solve for x
    x = 61,829,405,927.02/284,706.78
  6. Step 6: Final answer
    x = 217,168.72

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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.