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Finding the Fourth Proportional to 537,086.40, 805,117.60 and 200,036.80

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Solution

The fourth proportional to 537,086.40, 805,117.60 and 200,036.80 is: 299,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,086.40 : 805,117.60 = 200,036.80 : x
  2. Step 2: Convert to fraction form
    537,086.40/805,117.60 = 200,036.80/x
  3. Step 3: Cross multiply
    537,086.40x = 805,117.60 × 200,036.80
  4. Step 4: Simplify right side
    537,086.40x = 161,053,148,327.68
  5. Step 5: Solve for x
    x = 161,053,148,327.68/537,086.40
  6. Step 6: Final answer
    x = 299,864.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.