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Finding the Fourth Proportional to 623,470, 934,975.14 and 224,003.56

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Solution

The fourth proportional to 623,470, 934,975.14 and 224,003.56 is: 335,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,470 : 934,975.14 = 224,003.56 : x
  2. Step 2: Convert to fraction form
    623,470/934,975.14 = 224,003.56/x
  3. Step 3: Cross multiply
    623,470x = 934,975.14 × 224,003.56
  4. Step 4: Simplify right side
    623,470x = 209,437,759,871.50
  5. Step 5: Solve for x
    x = 209,437,759,871.50/623,470
  6. Step 6: Final answer
    x = 335,922.75

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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.