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Finding the Fourth Proportional to 477,462.82, 716,083.15 and 140,413.32

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Solution

The fourth proportional to 477,462.82, 716,083.15 and 140,413.32 is: 210,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,462.82 : 716,083.15 = 140,413.32 : x
  2. Step 2: Convert to fraction form
    477,462.82/716,083.15 = 140,413.32/x
  3. Step 3: Cross multiply
    477,462.82x = 716,083.15 × 140,413.32
  4. Step 4: Simplify right side
    477,462.82x = 100,547,612,487.56
  5. Step 5: Solve for x
    x = 100,547,612,487.56/477,462.82
  6. Step 6: Final answer
    x = 210,587.31

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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.