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Finding the Fourth Proportional to 430,232.66, 647,910.17 and 374,743.01

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Solution

The fourth proportional to 430,232.66, 647,910.17 and 374,743.01 is: 564,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,232.66 : 647,910.17 = 374,743.01 : x
  2. Step 2: Convert to fraction form
    430,232.66/647,910.17 = 374,743.01/x
  3. Step 3: Cross multiply
    430,232.66x = 647,910.17 × 374,743.01
  4. Step 4: Simplify right side
    430,232.66x = 242,799,803,768.30
  5. Step 5: Solve for x
    x = 242,799,803,768.30/430,232.66
  6. Step 6: Final answer
    x = 564,345.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.