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Finding the Fourth Proportional to 370,364, 511,102.34 and 200,599.36

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Solution

The fourth proportional to 370,364, 511,102.34 and 200,599.36 is: 276,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,364 : 511,102.34 = 200,599.36 : x
  2. Step 2: Convert to fraction form
    370,364/511,102.34 = 200,599.36/x
  3. Step 3: Cross multiply
    370,364x = 511,102.34 × 200,599.36
  4. Step 4: Simplify right side
    370,364x = 102,526,802,298.50
  5. Step 5: Solve for x
    x = 102,526,802,298.50/370,364
  6. Step 6: Final answer
    x = 276,827.13

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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.