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Finding the Fourth Proportional to 365,947.84, 549,549.96 and 224,623

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Solution

The fourth proportional to 365,947.84, 549,549.96 and 224,623 is: 337,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,947.84 : 549,549.96 = 224,623 : x
  2. Step 2: Convert to fraction form
    365,947.84/549,549.96 = 224,623/x
  3. Step 3: Cross multiply
    365,947.84x = 549,549.96 × 224,623
  4. Step 4: Simplify right side
    365,947.84x = 123,441,560,665.08
  5. Step 5: Solve for x
    x = 123,441,560,665.08/365,947.84
  6. Step 6: Final answer
    x = 337,320.10

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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.