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Finding the Fourth Proportional to 509,544.72, 703,182.60 and 283,185.36

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Solution

The fourth proportional to 509,544.72, 703,182.60 and 283,185.36 is: 390,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,544.72 : 703,182.60 = 283,185.36 : x
  2. Step 2: Convert to fraction form
    509,544.72/703,182.60 = 283,185.36/x
  3. Step 3: Cross multiply
    509,544.72x = 703,182.60 × 283,185.36
  4. Step 4: Simplify right side
    509,544.72x = 199,131,017,726.74
  5. Step 5: Solve for x
    x = 199,131,017,726.74/509,544.72
  6. Step 6: Final answer
    x = 390,801.85

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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.