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Finding the Fourth Proportional to 411,417.35, 616,904.12 and 186,655.14

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Solution

The fourth proportional to 411,417.35, 616,904.12 and 186,655.14 is: 279,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417.35 : 616,904.12 = 186,655.14 : x
  2. Step 2: Convert to fraction form
    411,417.35/616,904.12 = 186,655.14/x
  3. Step 3: Cross multiply
    411,417.35x = 616,904.12 × 186,655.14
  4. Step 4: Simplify right side
    411,417.35x = 115,148,324,885.18
  5. Step 5: Solve for x
    x = 115,148,324,885.18/411,417.35
  6. Step 6: Final answer
    x = 279,882.03

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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.