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Finding the Fourth Proportional to 550,455.30, 824,698.80 and 471,723.30

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Solution

The fourth proportional to 550,455.30, 824,698.80 and 471,723.30 is: 706,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,455.30 : 824,698.80 = 471,723.30 : x
  2. Step 2: Convert to fraction form
    550,455.30/824,698.80 = 471,723.30/x
  3. Step 3: Cross multiply
    550,455.30x = 824,698.80 × 471,723.30
  4. Step 4: Simplify right side
    550,455.30x = 389,029,639,442.04
  5. Step 5: Solve for x
    x = 389,029,639,442.04/550,455.30
  6. Step 6: Final answer
    x = 706,741.56

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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.