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Finding the Fourth Proportional to 530,506, 796,090.68 and 214,964.56

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Solution

The fourth proportional to 530,506, 796,090.68 and 214,964.56 is: 322,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,506 : 796,090.68 = 214,964.56 : x
  2. Step 2: Convert to fraction form
    530,506/796,090.68 = 214,964.56/x
  3. Step 3: Cross multiply
    530,506x = 796,090.68 × 214,964.56
  4. Step 4: Simplify right side
    530,506x = 171,131,282,746.30
  5. Step 5: Solve for x
    x = 171,131,282,746.30/530,506
  6. Step 6: Final answer
    x = 322,581.24

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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.