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Finding the Fourth Proportional to 295,028.34, 407,078.10 and 172,497.12

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Solution

The fourth proportional to 295,028.34, 407,078.10 and 172,497.12 is: 238,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,028.34 : 407,078.10 = 172,497.12 : x
  2. Step 2: Convert to fraction form
    295,028.34/407,078.10 = 172,497.12/x
  3. Step 3: Cross multiply
    295,028.34x = 407,078.10 × 172,497.12
  4. Step 4: Simplify right side
    295,028.34x = 70,219,799,865.07
  5. Step 5: Solve for x
    x = 70,219,799,865.07/295,028.34
  6. Step 6: Final answer
    x = 238,010.35

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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.