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Finding the Fourth Proportional to 589,500.78, 884,437.99 and 210,413.11

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Solution

The fourth proportional to 589,500.78, 884,437.99 and 210,413.11 is: 315,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,500.78 : 884,437.99 = 210,413.11 : x
  2. Step 2: Convert to fraction form
    589,500.78/884,437.99 = 210,413.11/x
  3. Step 3: Cross multiply
    589,500.78x = 884,437.99 × 210,413.11
  4. Step 4: Simplify right side
    589,500.78x = 186,097,348,078.05
  5. Step 5: Solve for x
    x = 186,097,348,078.05/589,500.78
  6. Step 6: Final answer
    x = 315,686.35

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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.