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Finding the Fourth Proportional to 365,946.84, 549,548.46 and 224,622

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Solution

The fourth proportional to 365,946.84, 549,548.46 and 224,622 is: 337,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,946.84 : 549,548.46 = 224,622 : x
  2. Step 2: Convert to fraction form
    365,946.84/549,548.46 = 224,622/x
  3. Step 3: Cross multiply
    365,946.84x = 549,548.46 × 224,622
  4. Step 4: Simplify right side
    365,946.84x = 123,440,674,182.12
  5. Step 5: Solve for x
    x = 123,440,674,182.12/365,946.84
  6. Step 6: Final answer
    x = 337,318.60

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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.