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Finding the Fourth Proportional to 602,081.40, 903,018.42 and 282,267.48

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Solution

The fourth proportional to 602,081.40, 903,018.42 and 282,267.48 is: 423,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,081.40 : 903,018.42 = 282,267.48 : x
  2. Step 2: Convert to fraction form
    602,081.40/903,018.42 = 282,267.48/x
  3. Step 3: Cross multiply
    602,081.40x = 903,018.42 × 282,267.48
  4. Step 4: Simplify right side
    602,081.40x = 254,892,733,806.98
  5. Step 5: Solve for x
    x = 254,892,733,806.98/602,081.40
  6. Step 6: Final answer
    x = 423,352.61

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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.