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Finding the Fourth Proportional to 369,076.01, 509,322.57 and 207,982.80

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Solution

The fourth proportional to 369,076.01, 509,322.57 and 207,982.80 is: 287,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,076.01 : 509,322.57 = 207,982.80 : x
  2. Step 2: Convert to fraction form
    369,076.01/509,322.57 = 207,982.80/x
  3. Step 3: Cross multiply
    369,076.01x = 509,322.57 × 207,982.80
  4. Step 4: Simplify right side
    369,076.01x = 105,930,334,211.80
  5. Step 5: Solve for x
    x = 105,930,334,211.80/369,076.01
  6. Step 6: Final answer
    x = 287,014.96

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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.