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Finding the Fourth Proportional to 370,323.36, 511,047.84 and 200,557.68

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Solution

The fourth proportional to 370,323.36, 511,047.84 and 200,557.68 is: 276,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,323.36 : 511,047.84 = 200,557.68 : x
  2. Step 2: Convert to fraction form
    370,323.36/511,047.84 = 200,557.68/x
  3. Step 3: Cross multiply
    370,323.36x = 511,047.84 × 200,557.68
  4. Step 4: Simplify right side
    370,323.36x = 102,494,569,159.41
  5. Step 5: Solve for x
    x = 102,494,569,159.41/370,323.36
  6. Step 6: Final answer
    x = 276,770.47

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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.