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Finding the Fourth Proportional to 520,062.70, 778,538.85 and 309,592.30

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Solution

The fourth proportional to 520,062.70, 778,538.85 and 309,592.30 is: 463,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,062.70 : 778,538.85 = 309,592.30 : x
  2. Step 2: Convert to fraction form
    520,062.70/778,538.85 = 309,592.30/x
  3. Step 3: Cross multiply
    520,062.70x = 778,538.85 × 309,592.30
  4. Step 4: Simplify right side
    520,062.70x = 241,029,633,210.86
  5. Step 5: Solve for x
    x = 241,029,633,210.86/520,062.70
  6. Step 6: Final answer
    x = 463,462.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.