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Finding the Fourth Proportional to 334,047, 501,148.32 and 112,431

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Solution

The fourth proportional to 334,047, 501,148.32 and 112,431 is: 168,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,047 : 501,148.32 = 112,431 : x
  2. Step 2: Convert to fraction form
    334,047/501,148.32 = 112,431/x
  3. Step 3: Cross multiply
    334,047x = 501,148.32 × 112,431
  4. Step 4: Simplify right side
    334,047x = 56,344,606,765.92
  5. Step 5: Solve for x
    x = 56,344,606,765.92/334,047
  6. Step 6: Final answer
    x = 168,672.69

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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.