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Finding the Fourth Proportional to 434,751.10, 652,450.65 and 224,280.70

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Solution

The fourth proportional to 434,751.10, 652,450.65 and 224,280.70 is: 336,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,751.10 : 652,450.65 = 224,280.70 : x
  2. Step 2: Convert to fraction form
    434,751.10/652,450.65 = 224,280.70/x
  3. Step 3: Cross multiply
    434,751.10x = 652,450.65 × 224,280.70
  4. Step 4: Simplify right side
    434,751.10x = 146,332,088,497.46
  5. Step 5: Solve for x
    x = 146,332,088,497.46/434,751.10
  6. Step 6: Final answer
    x = 336,588.20

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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.