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Finding the Fourth Proportional to 473,413.86, 653,315.31 and 269,477.91

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Solution

The fourth proportional to 473,413.86, 653,315.31 and 269,477.91 is: 371,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,413.86 : 653,315.31 = 269,477.91 : x
  2. Step 2: Convert to fraction form
    473,413.86/653,315.31 = 269,477.91/x
  3. Step 3: Cross multiply
    473,413.86x = 653,315.31 × 269,477.91
  4. Step 4: Simplify right side
    473,413.86x = 176,054,044,309.80
  5. Step 5: Solve for x
    x = 176,054,044,309.80/473,413.86
  6. Step 6: Final answer
    x = 371,881.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.