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Finding the Fourth Proportional to 702,384.81, 969,186.77 and 426,599.15

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Solution

The fourth proportional to 702,384.81, 969,186.77 and 426,599.15 is: 588,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,384.81 : 969,186.77 = 426,599.15 : x
  2. Step 2: Convert to fraction form
    702,384.81/969,186.77 = 426,599.15/x
  3. Step 3: Cross multiply
    702,384.81x = 969,186.77 × 426,599.15
  4. Step 4: Simplify right side
    702,384.81x = 413,454,252,563.22
  5. Step 5: Solve for x
    x = 413,454,252,563.22/702,384.81
  6. Step 6: Final answer
    x = 588,643.50

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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.