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Finding the Fourth Proportional to 506,815.35, 699,293.57 and 302,835.75

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Solution

The fourth proportional to 506,815.35, 699,293.57 and 302,835.75 is: 417,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,815.35 : 699,293.57 = 302,835.75 : x
  2. Step 2: Convert to fraction form
    506,815.35/699,293.57 = 302,835.75/x
  3. Step 3: Cross multiply
    506,815.35x = 699,293.57 × 302,835.75
  4. Step 4: Simplify right side
    506,815.35x = 211,771,091,226.95
  5. Step 5: Solve for x
    x = 211,771,091,226.95/506,815.35
  6. Step 6: Final answer
    x = 417,846.64

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