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Finding the Fourth Proportional to 374,817.86, 517,261.10 and 205,051.98

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Solution

The fourth proportional to 374,817.86, 517,261.10 and 205,051.98 is: 282,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,817.86 : 517,261.10 = 205,051.98 : x
  2. Step 2: Convert to fraction form
    374,817.86/517,261.10 = 205,051.98/x
  3. Step 3: Cross multiply
    374,817.86x = 517,261.10 × 205,051.98
  4. Step 4: Simplify right side
    374,817.86x = 106,065,411,706.72
  5. Step 5: Solve for x
    x = 106,065,411,706.72/374,817.86
  6. Step 6: Final answer
    x = 282,978.55

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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.