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Finding the Fourth Proportional to 506,636.50, 699,089.33 and 302,644.12

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Solution

The fourth proportional to 506,636.50, 699,089.33 and 302,644.12 is: 417,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,636.50 : 699,089.33 = 302,644.12 : x
  2. Step 2: Convert to fraction form
    506,636.50/699,089.33 = 302,644.12/x
  3. Step 3: Cross multiply
    506,636.50x = 699,089.33 × 302,644.12
  4. Step 4: Simplify right side
    506,636.50x = 211,575,275,449.95
  5. Step 5: Solve for x
    x = 211,575,275,449.95/506,636.50
  6. Step 6: Final answer
    x = 417,607.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.