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Finding the Fourth Proportional to 367,825.34, 507,645.88 and 224,554.70

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Solution

The fourth proportional to 367,825.34, 507,645.88 and 224,554.70 is: 309,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,825.34 : 507,645.88 = 224,554.70 : x
  2. Step 2: Convert to fraction form
    367,825.34/507,645.88 = 224,554.70/x
  3. Step 3: Cross multiply
    367,825.34x = 507,645.88 × 224,554.70
  4. Step 4: Simplify right side
    367,825.34x = 113,994,268,289.64
  5. Step 5: Solve for x
    x = 113,994,268,289.64/367,825.34
  6. Step 6: Final answer
    x = 309,914.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.