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Finding the Fourth Proportional to 430,362, 593,899.56 and 251,514

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Solution

The fourth proportional to 430,362, 593,899.56 and 251,514 is: 347,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,362 : 593,899.56 = 251,514 : x
  2. Step 2: Convert to fraction form
    430,362/593,899.56 = 251,514/x
  3. Step 3: Cross multiply
    430,362x = 593,899.56 × 251,514
  4. Step 4: Simplify right side
    430,362x = 149,374,053,933.84
  5. Step 5: Solve for x
    x = 149,374,053,933.84/430,362
  6. Step 6: Final answer
    x = 347,089.32

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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.