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Finding the Fourth Proportional to 430,314, 593,833.32 and 251,466

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Solution

The fourth proportional to 430,314, 593,833.32 and 251,466 is: 347,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,314 : 593,833.32 = 251,466 : x
  2. Step 2: Convert to fraction form
    430,314/593,833.32 = 251,466/x
  3. Step 3: Cross multiply
    430,314x = 593,833.32 × 251,466
  4. Step 4: Simplify right side
    430,314x = 149,328,889,647.12
  5. Step 5: Solve for x
    x = 149,328,889,647.12/430,314
  6. Step 6: Final answer
    x = 347,023.08

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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.