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Finding the Fourth Proportional to 508,733.10, 763,099.65 and 309,444.30

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Solution

The fourth proportional to 508,733.10, 763,099.65 and 309,444.30 is: 464,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,733.10 : 763,099.65 = 309,444.30 : x
  2. Step 2: Convert to fraction form
    508,733.10/763,099.65 = 309,444.30/x
  3. Step 3: Cross multiply
    508,733.10x = 763,099.65 × 309,444.30
  4. Step 4: Simplify right side
    508,733.10x = 236,136,837,024.50
  5. Step 5: Solve for x
    x = 236,136,837,024.50/508,733.10
  6. Step 6: Final answer
    x = 464,166.45

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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.