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Finding the Fourth Proportional to 564,666.48, 846,252.06 and 414,202.32

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Solution

The fourth proportional to 564,666.48, 846,252.06 and 414,202.32 is: 620,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,666.48 : 846,252.06 = 414,202.32 : x
  2. Step 2: Convert to fraction form
    564,666.48/846,252.06 = 414,202.32/x
  3. Step 3: Cross multiply
    564,666.48x = 846,252.06 × 414,202.32
  4. Step 4: Simplify right side
    564,666.48x = 350,519,566,556.78
  5. Step 5: Solve for x
    x = 350,519,566,556.78/564,666.48
  6. Step 6: Final answer
    x = 620,755.05

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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.