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Finding the Fourth Proportional to 314,003.17, 433,312.30 and 170,763.38

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Solution

The fourth proportional to 314,003.17, 433,312.30 and 170,763.38 is: 235,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,003.17 : 433,312.30 = 170,763.38 : x
  2. Step 2: Convert to fraction form
    314,003.17/433,312.30 = 170,763.38/x
  3. Step 3: Cross multiply
    314,003.17x = 433,312.30 × 170,763.38
  4. Step 4: Simplify right side
    314,003.17x = 73,993,872,943.57
  5. Step 5: Solve for x
    x = 73,993,872,943.57/314,003.17
  6. Step 6: Final answer
    x = 235,646.90

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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.