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Finding the Fourth Proportional to 473,457.80, 709,841.10 and 192,830.60

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Solution

The fourth proportional to 473,457.80, 709,841.10 and 192,830.60 is: 289,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,457.80 : 709,841.10 = 192,830.60 : x
  2. Step 2: Convert to fraction form
    473,457.80/709,841.10 = 192,830.60/x
  3. Step 3: Cross multiply
    473,457.80x = 709,841.10 × 192,830.60
  4. Step 4: Simplify right side
    473,457.80x = 136,879,085,217.66
  5. Step 5: Solve for x
    x = 136,879,085,217.66/473,457.80
  6. Step 6: Final answer
    x = 289,105.14

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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.