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Finding the Fourth Proportional to 415,411.11, 623,116.44 and 99,867.93

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Solution

The fourth proportional to 415,411.11, 623,116.44 and 99,867.93 is: 149,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,411.11 : 623,116.44 = 99,867.93 : x
  2. Step 2: Convert to fraction form
    415,411.11/623,116.44 = 99,867.93/x
  3. Step 3: Cross multiply
    415,411.11x = 623,116.44 × 99,867.93
  4. Step 4: Simplify right side
    415,411.11x = 62,229,349,011.77
  5. Step 5: Solve for x
    x = 62,229,349,011.77/415,411.11
  6. Step 6: Final answer
    x = 149,801.84

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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.