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Finding the Fourth Proportional to 473,699.07, 710,551.67 and 189,413.51

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Solution

The fourth proportional to 473,699.07, 710,551.67 and 189,413.51 is: 284,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,699.07 : 710,551.67 = 189,413.51 : x
  2. Step 2: Convert to fraction form
    473,699.07/710,551.67 = 189,413.51/x
  3. Step 3: Cross multiply
    473,699.07x = 710,551.67 × 189,413.51
  4. Step 4: Simplify right side
    473,699.07x = 134,588,081,351.24
  5. Step 5: Solve for x
    x = 134,588,081,351.24/473,699.07
  6. Step 6: Final answer
    x = 284,121.48

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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.