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Finding the Fourth Proportional to 506,814.60, 699,292.53 and 302,835

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Solution

The fourth proportional to 506,814.60, 699,292.53 and 302,835 is: 417,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,814.60 : 699,292.53 = 302,835 : x
  2. Step 2: Convert to fraction form
    506,814.60/699,292.53 = 302,835/x
  3. Step 3: Cross multiply
    506,814.60x = 699,292.53 × 302,835
  4. Step 4: Simplify right side
    506,814.60x = 211,770,253,322.55
  5. Step 5: Solve for x
    x = 211,770,253,322.55/506,814.60
  6. Step 6: Final answer
    x = 417,845.61

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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.