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Finding the Fourth Proportional to 586,597.81, 809,086.79 and 538,355.24

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Solution

The fourth proportional to 586,597.81, 809,086.79 and 538,355.24 is: 742,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,597.81 : 809,086.79 = 538,355.24 : x
  2. Step 2: Convert to fraction form
    586,597.81/809,086.79 = 538,355.24/x
  3. Step 3: Cross multiply
    586,597.81x = 809,086.79 × 538,355.24
  4. Step 4: Simplify right side
    586,597.81x = 435,576,110,311.73
  5. Step 5: Solve for x
    x = 435,576,110,311.73/586,597.81
  6. Step 6: Final answer
    x = 742,546.43

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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.