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Finding the Fourth Proportional to 577,820.10, 866,384.55 and 297,884.10

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Solution

The fourth proportional to 577,820.10, 866,384.55 and 297,884.10 is: 446,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,820.10 : 866,384.55 = 297,884.10 : x
  2. Step 2: Convert to fraction form
    577,820.10/866,384.55 = 297,884.10/x
  3. Step 3: Cross multiply
    577,820.10x = 866,384.55 × 297,884.10
  4. Step 4: Simplify right side
    577,820.10x = 258,082,181,930.66
  5. Step 5: Solve for x
    x = 258,082,181,930.66/577,820.10
  6. Step 6: Final answer
    x = 446,647.98

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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.