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Finding the Fourth Proportional to 358,506, 537,721.74 and 224,990.46

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Solution

The fourth proportional to 358,506, 537,721.74 and 224,990.46 is: 337,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,506 : 537,721.74 = 224,990.46 : x
  2. Step 2: Convert to fraction form
    358,506/537,721.74 = 224,990.46/x
  3. Step 3: Cross multiply
    358,506x = 537,721.74 × 224,990.46
  4. Step 4: Simplify right side
    358,506x = 120,982,261,634.60
  5. Step 5: Solve for x
    x = 120,982,261,634.60/358,506
  6. Step 6: Final answer
    x = 337,462.31

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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.