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Finding the Fourth Proportional to 584,506.22, 876,803.25 and 185,178.38

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Solution

The fourth proportional to 584,506.22, 876,803.25 and 185,178.38 is: 277,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,506.22 : 876,803.25 = 185,178.38 : x
  2. Step 2: Convert to fraction form
    584,506.22/876,803.25 = 185,178.38/x
  3. Step 3: Cross multiply
    584,506.22x = 876,803.25 × 185,178.38
  4. Step 4: Simplify right side
    584,506.22x = 162,365,005,413.74
  5. Step 5: Solve for x
    x = 162,365,005,413.74/584,506.22
  6. Step 6: Final answer
    x = 277,781.48

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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.