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Finding the Fourth Proportional to 602,198.16, 830,796.36 and 347,500.14

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Solution

The fourth proportional to 602,198.16, 830,796.36 and 347,500.14 is: 479,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,198.16 : 830,796.36 = 347,500.14 : x
  2. Step 2: Convert to fraction form
    602,198.16/830,796.36 = 347,500.14/x
  3. Step 3: Cross multiply
    602,198.16x = 830,796.36 × 347,500.14
  4. Step 4: Simplify right side
    602,198.16x = 288,701,851,411.49
  5. Step 5: Solve for x
    x = 288,701,851,411.49/602,198.16
  6. Step 6: Final answer
    x = 479,413.37

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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.