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Finding the Fourth Proportional to 314,095.42, 433,449.73 and 170,856.03

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Solution

The fourth proportional to 314,095.42, 433,449.73 and 170,856.03 is: 235,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,095.42 : 433,449.73 = 170,856.03 : x
  2. Step 2: Convert to fraction form
    314,095.42/433,449.73 = 170,856.03/x
  3. Step 3: Cross multiply
    314,095.42x = 433,449.73 × 170,856.03
  4. Step 4: Simplify right side
    314,095.42x = 74,057,501,911.38
  5. Step 5: Solve for x
    x = 74,057,501,911.38/314,095.42
  6. Step 6: Final answer
    x = 235,780.27

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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.