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Finding the Fourth Proportional to 461,701.72, 693,603.51 and 334,011.86

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Solution

The fourth proportional to 461,701.72, 693,603.51 and 334,011.86 is: 501,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,701.72 : 693,603.51 = 334,011.86 : x
  2. Step 2: Convert to fraction form
    461,701.72/693,603.51 = 334,011.86/x
  3. Step 3: Cross multiply
    461,701.72x = 693,603.51 × 334,011.86
  4. Step 4: Simplify right side
    461,701.72x = 231,671,793,339.55
  5. Step 5: Solve for x
    x = 231,671,793,339.55/461,701.72
  6. Step 6: Final answer
    x = 501,778.07

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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.