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Finding the Fourth Proportional to 284,653.58, 392,821.99 and 157,329.16

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Solution

The fourth proportional to 284,653.58, 392,821.99 and 157,329.16 is: 217,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,653.58 : 392,821.99 = 157,329.16 : x
  2. Step 2: Convert to fraction form
    284,653.58/392,821.99 = 157,329.16/x
  3. Step 3: Cross multiply
    284,653.58x = 392,821.99 × 157,329.16
  4. Step 4: Simplify right side
    284,653.58x = 61,802,352,340.85
  5. Step 5: Solve for x
    x = 61,802,352,340.85/284,653.58
  6. Step 6: Final answer
    x = 217,114.27

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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.