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Finding the Fourth Proportional to 506,765.36, 699,225.12 and 302,785.64

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Solution

The fourth proportional to 506,765.36, 699,225.12 and 302,785.64 is: 417,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,765.36 : 699,225.12 = 302,785.64 : x
  2. Step 2: Convert to fraction form
    506,765.36/699,225.12 = 302,785.64/x
  3. Step 3: Cross multiply
    506,765.36x = 699,225.12 × 302,785.64
  4. Step 4: Simplify right side
    506,765.36x = 211,715,325,463.28
  5. Step 5: Solve for x
    x = 211,715,325,463.28/506,765.36
  6. Step 6: Final answer
    x = 417,777.82

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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.