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Finding the Fourth Proportional to 284,597.24, 392,710.75 and 157,265.24

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Solution

The fourth proportional to 284,597.24, 392,710.75 and 157,265.24 is: 217,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,597.24 : 392,710.75 = 157,265.24 : x
  2. Step 2: Convert to fraction form
    284,597.24/392,710.75 = 157,265.24/x
  3. Step 3: Cross multiply
    284,597.24x = 392,710.75 × 157,265.24
  4. Step 4: Simplify right side
    284,597.24x = 61,759,747,992.61
  5. Step 5: Solve for x
    x = 61,759,747,992.61/284,597.24
  6. Step 6: Final answer
    x = 217,007.55

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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.