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Finding the Fourth Proportional to 409,859.58, 565,413.18 and 266,567.34

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Solution

The fourth proportional to 409,859.58, 565,413.18 and 266,567.34 is: 367,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,859.58 : 565,413.18 = 266,567.34 : x
  2. Step 2: Convert to fraction form
    409,859.58/565,413.18 = 266,567.34/x
  3. Step 3: Cross multiply
    409,859.58x = 565,413.18 × 266,567.34
  4. Step 4: Simplify right side
    409,859.58x = 150,720,687,393.54
  5. Step 5: Solve for x
    x = 150,720,687,393.54/409,859.58
  6. Step 6: Final answer
    x = 367,737.38

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1.5x scale

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.