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Finding the Fourth Proportional to 411,209.80, 616,152.30 and 233,187.40

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Solution

The fourth proportional to 411,209.80, 616,152.30 and 233,187.40 is: 349,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,209.80 : 616,152.30 = 233,187.40 : x
  2. Step 2: Convert to fraction form
    411,209.80/616,152.30 = 233,187.40/x
  3. Step 3: Cross multiply
    411,209.80x = 616,152.30 × 233,187.40
  4. Step 4: Simplify right side
    411,209.80x = 143,678,952,841.02
  5. Step 5: Solve for x
    x = 143,678,952,841.02/411,209.80
  6. Step 6: Final answer
    x = 349,405.47

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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.