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Finding the Fourth Proportional to 477,413.52, 715,973.85 and 157,506.36

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Solution

The fourth proportional to 477,413.52, 715,973.85 and 157,506.36 is: 236,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,413.52 : 715,973.85 = 157,506.36 : x
  2. Step 2: Convert to fraction form
    477,413.52/715,973.85 = 157,506.36/x
  3. Step 3: Cross multiply
    477,413.52x = 715,973.85 × 157,506.36
  4. Step 4: Simplify right side
    477,413.52x = 112,770,434,968.69
  5. Step 5: Solve for x
    x = 112,770,434,968.69/477,413.52
  6. Step 6: Final answer
    x = 236,211.23

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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.