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Finding the Fourth Proportional to 473,699.54, 710,552.40 and 189,413.98

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Solution

The fourth proportional to 473,699.54, 710,552.40 and 189,413.98 is: 284,122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,699.54 : 710,552.40 = 189,413.98 : x
  2. Step 2: Convert to fraction form
    473,699.54/710,552.40 = 189,413.98/x
  3. Step 3: Cross multiply
    473,699.54x = 710,552.40 × 189,413.98
  4. Step 4: Simplify right side
    473,699.54x = 134,588,558,082.55
  5. Step 5: Solve for x
    x = 134,588,558,082.55/473,699.54
  6. Step 6: Final answer
    x = 284,122.21

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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.