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Finding the Fourth Proportional to 411,053.01, 616,159.26 and 233,184.30

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Solution

The fourth proportional to 411,053.01, 616,159.26 and 233,184.30 is: 349,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,053.01 : 616,159.26 = 233,184.30 : x
  2. Step 2: Convert to fraction form
    411,053.01/616,159.26 = 233,184.30/x
  3. Step 3: Cross multiply
    411,053.01x = 616,159.26 × 233,184.30
  4. Step 4: Simplify right side
    411,053.01x = 143,678,665,731.62
  5. Step 5: Solve for x
    x = 143,678,665,731.62/411,053.01
  6. Step 6: Final answer
    x = 349,538.05

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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.