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Finding the Fourth Proportional to 473,455.80, 709,838.10 and 192,828.60

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Solution

The fourth proportional to 473,455.80, 709,838.10 and 192,828.60 is: 289,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,455.80 : 709,838.10 = 192,828.60 : x
  2. Step 2: Convert to fraction form
    473,455.80/709,838.10 = 192,828.60/x
  3. Step 3: Cross multiply
    473,455.80x = 709,838.10 × 192,828.60
  4. Step 4: Simplify right side
    473,455.80x = 136,877,087,049.66
  5. Step 5: Solve for x
    x = 136,877,087,049.66/473,455.80
  6. Step 6: Final answer
    x = 289,102.14

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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.