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Finding the Fourth Proportional to 514,914.25, 710,604.14 and 285,456.94

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Solution

The fourth proportional to 514,914.25, 710,604.14 and 285,456.94 is: 393,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,914.25 : 710,604.14 = 285,456.94 : x
  2. Step 2: Convert to fraction form
    514,914.25/710,604.14 = 285,456.94/x
  3. Step 3: Cross multiply
    514,914.25x = 710,604.14 × 285,456.94
  4. Step 4: Simplify right side
    514,914.25x = 202,846,881,928.45
  5. Step 5: Solve for x
    x = 202,846,881,928.45/514,914.25
  6. Step 6: Final answer
    x = 393,943.03

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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.