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Finding the Fourth Proportional to 284,651.28, 392,804.64 and 157,323.60

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Solution

The fourth proportional to 284,651.28, 392,804.64 and 157,323.60 is: 217,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,651.28 : 392,804.64 = 157,323.60 : x
  2. Step 2: Convert to fraction form
    284,651.28/392,804.64 = 157,323.60/x
  3. Step 3: Cross multiply
    284,651.28x = 392,804.64 × 157,323.60
  4. Step 4: Simplify right side
    284,651.28x = 61,797,440,061.50
  5. Step 5: Solve for x
    x = 61,797,440,061.50/284,651.28
  6. Step 6: Final answer
    x = 217,098.76

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1.5x scale

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.