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Finding the Fourth Proportional to 473,496.49, 710,584.53 and 321,314.10

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Solution

The fourth proportional to 473,496.49, 710,584.53 and 321,314.10 is: 482,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,496.49 : 710,584.53 = 321,314.10 : x
  2. Step 2: Convert to fraction form
    473,496.49/710,584.53 = 321,314.10/x
  3. Step 3: Cross multiply
    473,496.49x = 710,584.53 × 321,314.10
  4. Step 4: Simplify right side
    473,496.49x = 228,320,828,730.87
  5. Step 5: Solve for x
    x = 228,320,828,730.87/473,496.49
  6. Step 6: Final answer
    x = 482,201.73

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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.