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Finding the Fourth Proportional to 416,978.32, 625,467.50 and 167,602

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Solution

The fourth proportional to 416,978.32, 625,467.50 and 167,602 is: 251,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,978.32 : 625,467.50 = 167,602 : x
  2. Step 2: Convert to fraction form
    416,978.32/625,467.50 = 167,602/x
  3. Step 3: Cross multiply
    416,978.32x = 625,467.50 × 167,602
  4. Step 4: Simplify right side
    416,978.32x = 104,829,603,935
  5. Step 5: Solve for x
    x = 104,829,603,935/416,978.32
  6. Step 6: Final answer
    x = 251,403.01

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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.