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Finding the Fourth Proportional to 766,616.19, 1,148,653.04 and 466,188

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Solution

The fourth proportional to 766,616.19, 1,148,653.04 and 466,188 is: 698,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,616.19 : 1,148,653.04 = 466,188 : x
  2. Step 2: Convert to fraction form
    766,616.19/1,148,653.04 = 466,188/x
  3. Step 3: Cross multiply
    766,616.19x = 1,148,653.04 × 466,188
  4. Step 4: Simplify right side
    766,616.19x = 535,488,263,411.52
  5. Step 5: Solve for x
    x = 535,488,263,411.52/766,616.19
  6. Step 6: Final answer
    x = 698,508.94

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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.