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Finding the Fourth Proportional to 481,952.20, 722,798.70 and 201,411.40

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Solution

The fourth proportional to 481,952.20, 722,798.70 and 201,411.40 is: 302,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,952.20 : 722,798.70 = 201,411.40 : x
  2. Step 2: Convert to fraction form
    481,952.20/722,798.70 = 201,411.40/x
  3. Step 3: Cross multiply
    481,952.20x = 722,798.70 × 201,411.40
  4. Step 4: Simplify right side
    481,952.20x = 145,579,898,085.18
  5. Step 5: Solve for x
    x = 145,579,898,085.18/481,952.20
  6. Step 6: Final answer
    x = 302,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.