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Finding the Fourth Proportional to 497,276.89, 745,909.83 and 297,653.00

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Solution

The fourth proportional to 497,276.89, 745,909.83 and 297,653.00 is: 446,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,276.89 : 745,909.83 = 297,653.00 : x
  2. Step 2: Convert to fraction form
    497,276.89/745,909.83 = 297,653.00/x
  3. Step 3: Cross multiply
    497,276.89x = 745,909.83 × 297,653.00
  4. Step 4: Simplify right side
    497,276.89x = 222,022,294,899.44
  5. Step 5: Solve for x
    x = 222,022,294,899.44/497,276.89
  6. Step 6: Final answer
    x = 446,476.20

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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.