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Finding the Fourth Proportional to 559,413.30, 839,411.55 and 243,902.10

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Solution

The fourth proportional to 559,413.30, 839,411.55 and 243,902.10 is: 365,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,413.30 : 839,411.55 = 243,902.10 : x
  2. Step 2: Convert to fraction form
    559,413.30/839,411.55 = 243,902.10/x
  3. Step 3: Cross multiply
    559,413.30x = 839,411.55 × 243,902.10
  4. Step 4: Simplify right side
    559,413.30x = 204,734,239,809.26
  5. Step 5: Solve for x
    x = 204,734,239,809.26/559,413.30
  6. Step 6: Final answer
    x = 365,980.29

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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.