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Finding the Fourth Proportional to 520,051.70, 778,522.35 and 309,581.30

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Solution

The fourth proportional to 520,051.70, 778,522.35 and 309,581.30 is: 463,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.70 : 778,522.35 = 309,581.30 : x
  2. Step 2: Convert to fraction form
    520,051.70/778,522.35 = 309,581.30/x
  3. Step 3: Cross multiply
    520,051.70x = 778,522.35 × 309,581.30
  4. Step 4: Simplify right side
    520,051.70x = 241,015,961,192.06
  5. Step 5: Solve for x
    x = 241,015,961,192.06/520,051.70
  6. Step 6: Final answer
    x = 463,446.16

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Why These Related Problems?

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