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Finding the Fourth Proportional to 473,920.94, 710,994.14 and 154,074.22

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Solution

The fourth proportional to 473,920.94, 710,994.14 and 154,074.22 is: 231,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,920.94 : 710,994.14 = 154,074.22 : x
  2. Step 2: Convert to fraction form
    473,920.94/710,994.14 = 154,074.22/x
  3. Step 3: Cross multiply
    473,920.94x = 710,994.14 × 154,074.22
  4. Step 4: Simplify right side
    473,920.94x = 109,545,865,574.99
  5. Step 5: Solve for x
    x = 109,545,865,574.99/473,920.94
  6. Step 6: Final answer
    x = 231,147.97

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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.