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Finding the Fourth Proportional to 406,946.80, 610,711.80 and 229,265.20

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Solution

The fourth proportional to 406,946.80, 610,711.80 and 229,265.20 is: 344,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,946.80 : 610,711.80 = 229,265.20 : x
  2. Step 2: Convert to fraction form
    406,946.80/610,711.80 = 229,265.20/x
  3. Step 3: Cross multiply
    406,946.80x = 610,711.80 × 229,265.20
  4. Step 4: Simplify right side
    406,946.80x = 140,014,962,969.36
  5. Step 5: Solve for x
    x = 140,014,962,969.36/406,946.80
  6. Step 6: Final answer
    x = 344,062.08

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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.