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Finding the Fourth Proportional to 315,427.32, 435,299.40 and 172,196.64

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Solution

The fourth proportional to 315,427.32, 435,299.40 and 172,196.64 is: 237,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,427.32 : 435,299.40 = 172,196.64 : x
  2. Step 2: Convert to fraction form
    315,427.32/435,299.40 = 172,196.64/x
  3. Step 3: Cross multiply
    315,427.32x = 435,299.40 × 172,196.64
  4. Step 4: Simplify right side
    315,427.32x = 74,957,094,074.02
  5. Step 5: Solve for x
    x = 74,957,094,074.02/315,427.32
  6. Step 6: Final answer
    x = 237,636.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.