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Finding the Fourth Proportional to 889,345, 1,334,155.74 and 298,507.24

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Solution

The fourth proportional to 889,345, 1,334,155.74 and 298,507.24 is: 447,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,345 : 1,334,155.74 = 298,507.24 : x
  2. Step 2: Convert to fraction form
    889,345/1,334,155.74 = 298,507.24/x
  3. Step 3: Cross multiply
    889,345x = 1,334,155.74 × 298,507.24
  4. Step 4: Simplify right side
    889,345x = 398,255,147,677.56
  5. Step 5: Solve for x
    x = 398,255,147,677.56/889,345
  6. Step 6: Final answer
    x = 447,807.26

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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.