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Finding the Fourth Proportional to 411,053.52, 616,160 and 233,184.80

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Solution

The fourth proportional to 411,053.52, 616,160 and 233,184.80 is: 349,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,053.52 : 616,160 = 233,184.80 : x
  2. Step 2: Convert to fraction form
    411,053.52/616,160 = 233,184.80/x
  3. Step 3: Cross multiply
    411,053.52x = 616,160 × 233,184.80
  4. Step 4: Simplify right side
    411,053.52x = 143,679,146,368
  5. Step 5: Solve for x
    x = 143,679,146,368/411,053.52
  6. Step 6: Final answer
    x = 349,538.78

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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.