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Finding the Fourth Proportional to 430,721.95, 594,236.86 and 430,057.66

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Solution

The fourth proportional to 430,721.95, 594,236.86 and 430,057.66 is: 593,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,721.95 : 594,236.86 = 430,057.66 : x
  2. Step 2: Convert to fraction form
    430,721.95/594,236.86 = 430,057.66/x
  3. Step 3: Cross multiply
    430,721.95x = 594,236.86 × 430,057.66
  4. Step 4: Simplify right side
    430,721.95x = 255,556,113,497.35
  5. Step 5: Solve for x
    x = 255,556,113,497.35/430,721.95
  6. Step 6: Final answer
    x = 593,320.39

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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.