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Finding the Fourth Proportional to 579,461.64, 869,442.21 and 313,409.45

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Solution

The fourth proportional to 579,461.64, 869,442.21 and 313,409.45 is: 470,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,461.64 : 869,442.21 = 313,409.45 : x
  2. Step 2: Convert to fraction form
    579,461.64/869,442.21 = 313,409.45/x
  3. Step 3: Cross multiply
    579,461.64x = 869,442.21 × 313,409.45
  4. Step 4: Simplify right side
    579,461.64x = 272,491,400,495.67
  5. Step 5: Solve for x
    x = 272,491,400,495.67/579,461.64
  6. Step 6: Final answer
    x = 470,249.25

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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.