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Finding the Fourth Proportional to 497,233.30, 745,412.55 and 297,633.10

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Solution

The fourth proportional to 497,233.30, 745,412.55 and 297,633.10 is: 446,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,233.30 : 745,412.55 = 297,633.10 : x
  2. Step 2: Convert to fraction form
    497,233.30/745,412.55 = 297,633.10/x
  3. Step 3: Cross multiply
    497,233.30x = 745,412.55 × 297,633.10
  4. Step 4: Simplify right side
    497,233.30x = 221,859,448,035.41
  5. Step 5: Solve for x
    x = 221,859,448,035.41/497,233.30
  6. Step 6: Final answer
    x = 446,187.83

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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.