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Finding the Fourth Proportional to 495,413.66, 683,674.35 and 269,059.16

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Solution

The fourth proportional to 495,413.66, 683,674.35 and 269,059.16 is: 371,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,413.66 : 683,674.35 = 269,059.16 : x
  2. Step 2: Convert to fraction form
    495,413.66/683,674.35 = 269,059.16/x
  3. Step 3: Cross multiply
    495,413.66x = 683,674.35 × 269,059.16
  4. Step 4: Simplify right side
    495,413.66x = 183,948,846,324.55
  5. Step 5: Solve for x
    x = 183,948,846,324.55/495,413.66
  6. Step 6: Final answer
    x = 371,303.54

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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.