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Finding the Fourth Proportional to 700,851.42, 967,210.74 and 428,833.98

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Solution

The fourth proportional to 700,851.42, 967,210.74 and 428,833.98 is: 591,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,851.42 : 967,210.74 = 428,833.98 : x
  2. Step 2: Convert to fraction form
    700,851.42/967,210.74 = 428,833.98/x
  3. Step 3: Cross multiply
    700,851.42x = 967,210.74 × 428,833.98
  4. Step 4: Simplify right side
    700,851.42x = 414,772,831,132.95
  5. Step 5: Solve for x
    x = 414,772,831,132.95/700,851.42
  6. Step 6: Final answer
    x = 591,812.79

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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.