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Finding the Fourth Proportional to 301,691.46, 452,595.51 and 114,688.38

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Solution

The fourth proportional to 301,691.46, 452,595.51 and 114,688.38 is: 172,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,691.46 : 452,595.51 = 114,688.38 : x
  2. Step 2: Convert to fraction form
    301,691.46/452,595.51 = 114,688.38/x
  3. Step 3: Cross multiply
    301,691.46x = 452,595.51 × 114,688.38
  4. Step 4: Simplify right side
    301,691.46x = 51,907,445,837.17
  5. Step 5: Solve for x
    x = 51,907,445,837.17/301,691.46
  6. Step 6: Final answer
    x = 172,054.74

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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.