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Finding the Fourth Proportional to 284,698.44, 392,886.19 and 157,376.16

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Solution

The fourth proportional to 284,698.44, 392,886.19 and 157,376.16 is: 217,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,698.44 : 392,886.19 = 157,376.16 : x
  2. Step 2: Convert to fraction form
    284,698.44/392,886.19 = 157,376.16/x
  3. Step 3: Cross multiply
    284,698.44x = 392,886.19 × 157,376.16
  4. Step 4: Simplify right side
    284,698.44x = 61,830,919,899.23
  5. Step 5: Solve for x
    x = 61,830,919,899.23/284,698.44
  6. Step 6: Final answer
    x = 217,180.40

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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.