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Finding the Fourth Proportional to 549,108, 757,781.84 and 307,384.48

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Solution

The fourth proportional to 549,108, 757,781.84 and 307,384.48 is: 424,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,108 : 757,781.84 = 307,384.48 : x
  2. Step 2: Convert to fraction form
    549,108/757,781.84 = 307,384.48/x
  3. Step 3: Cross multiply
    549,108x = 757,781.84 × 307,384.48
  4. Step 4: Simplify right side
    549,108x = 232,930,376,841.84
  5. Step 5: Solve for x
    x = 232,930,376,841.84/549,108
  6. Step 6: Final answer
    x = 424,197.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.