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Finding the Fourth Proportional to 562,037.13, 843,001.02 and 309,234.51

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Solution

The fourth proportional to 562,037.13, 843,001.02 and 309,234.51 is: 463,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,037.13 : 843,001.02 = 309,234.51 : x
  2. Step 2: Convert to fraction form
    562,037.13/843,001.02 = 309,234.51/x
  3. Step 3: Cross multiply
    562,037.13x = 843,001.02 × 309,234.51
  4. Step 4: Simplify right side
    562,037.13x = 260,685,007,349.20
  5. Step 5: Solve for x
    x = 260,685,007,349.20/562,037.13
  6. Step 6: Final answer
    x = 463,821.68

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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.