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Finding the Fourth Proportional to 1,609,934.64, 2,414,984.68 and 411,867.34

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Solution

The fourth proportional to 1,609,934.64, 2,414,984.68 and 411,867.34 is: 617,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,934.64 : 2,414,984.68 = 411,867.34 : x
  2. Step 2: Convert to fraction form
    1,609,934.64/2,414,984.68 = 411,867.34/x
  3. Step 3: Cross multiply
    1,609,934.64x = 2,414,984.68 × 411,867.34
  4. Step 4: Simplify right side
    1,609,934.64x = 994,653,316,292.35
  5. Step 5: Solve for x
    x = 994,653,316,292.35/1,609,934.64
  6. Step 6: Final answer
    x = 617,822.17

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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.