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Finding the Fourth Proportional to 566,156, 781,316.79 and 324,485.21

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Solution

The fourth proportional to 566,156, 781,316.79 and 324,485.21 is: 447,801.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,156 : 781,316.79 = 324,485.21 : x
  2. Step 2: Convert to fraction form
    566,156/781,316.79 = 324,485.21/x
  3. Step 3: Cross multiply
    566,156x = 781,316.79 × 324,485.21
  4. Step 4: Simplify right side
    566,156x = 253,525,742,679.68
  5. Step 5: Solve for x
    x = 253,525,742,679.68/566,156
  6. Step 6: Final answer
    x = 447,801.92

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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.