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Finding the Fourth Proportional to 602,463.70, 903,065 and 202,966.43

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Solution

The fourth proportional to 602,463.70, 903,065 and 202,966.43 is: 304,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,463.70 : 903,065 = 202,966.43 : x
  2. Step 2: Convert to fraction form
    602,463.70/903,065 = 202,966.43/x
  3. Step 3: Cross multiply
    602,463.70x = 903,065 × 202,966.43
  4. Step 4: Simplify right side
    602,463.70x = 183,291,879,107.95
  5. Step 5: Solve for x
    x = 183,291,879,107.95/602,463.70
  6. Step 6: Final answer
    x = 304,237.22

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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.