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Finding the Fourth Proportional to 702,527.29, 969,511.13 and 430,542.63

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Solution

The fourth proportional to 702,527.29, 969,511.13 and 430,542.63 is: 594,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,527.29 : 969,511.13 = 430,542.63 : x
  2. Step 2: Convert to fraction form
    702,527.29/969,511.13 = 430,542.63/x
  3. Step 3: Cross multiply
    702,527.29x = 969,511.13 × 430,542.63
  4. Step 4: Simplify right side
    702,527.29x = 417,415,871,724.47
  5. Step 5: Solve for x
    x = 417,415,871,724.47/702,527.29
  6. Step 6: Final answer
    x = 594,163.21

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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.