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Finding the Fourth Proportional to 224,828.98, 337,477.05 and 150,468.74

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Solution

The fourth proportional to 224,828.98, 337,477.05 and 150,468.74 is: 225,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,828.98 : 337,477.05 = 150,468.74 : x
  2. Step 2: Convert to fraction form
    224,828.98/337,477.05 = 150,468.74/x
  3. Step 3: Cross multiply
    224,828.98x = 337,477.05 × 150,468.74
  4. Step 4: Simplify right side
    224,828.98x = 50,779,746,492.42
  5. Step 5: Solve for x
    x = 50,779,746,492.42/224,828.98
  6. Step 6: Final answer
    x = 225,859.44

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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.