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Finding the Fourth Proportional to 314,008.83, 433,328.07 and 170,765.82

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Solution

The fourth proportional to 314,008.83, 433,328.07 and 170,765.82 is: 235,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,008.83 : 433,328.07 = 170,765.82 : x
  2. Step 2: Convert to fraction form
    314,008.83/433,328.07 = 170,765.82/x
  3. Step 3: Cross multiply
    314,008.83x = 433,328.07 × 170,765.82
  4. Step 4: Simplify right side
    314,008.83x = 73,997,623,202.57
  5. Step 5: Solve for x
    x = 73,997,623,202.57/314,008.83
  6. Step 6: Final answer
    x = 235,654.59

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1.5x scale

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.