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Finding the Fourth Proportional to 313,907.70, 470,861.55 and 224,973.30

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Solution

The fourth proportional to 313,907.70, 470,861.55 and 224,973.30 is: 337,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,907.70 : 470,861.55 = 224,973.30 : x
  2. Step 2: Convert to fraction form
    313,907.70/470,861.55 = 224,973.30/x
  3. Step 3: Cross multiply
    313,907.70x = 470,861.55 × 224,973.30
  4. Step 4: Simplify right side
    313,907.70x = 105,931,276,746.62
  5. Step 5: Solve for x
    x = 105,931,276,746.62/313,907.70
  6. Step 6: Final answer
    x = 337,459.95

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1.5x scale

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.