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Finding the Fourth Proportional to 471,657.40, 707,486.10 and 235,461.40

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Solution

The fourth proportional to 471,657.40, 707,486.10 and 235,461.40 is: 353,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,657.40 : 707,486.10 = 235,461.40 : x
  2. Step 2: Convert to fraction form
    471,657.40/707,486.10 = 235,461.40/x
  3. Step 3: Cross multiply
    471,657.40x = 707,486.10 × 235,461.40
  4. Step 4: Simplify right side
    471,657.40x = 166,585,667,586.54
  5. Step 5: Solve for x
    x = 166,585,667,586.54/471,657.40
  6. Step 6: Final answer
    x = 353,192.10

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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.