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Finding the Fourth Proportional to 313,970.12, 470,971.46 and 103,624.46

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Solution

The fourth proportional to 313,970.12, 470,971.46 and 103,624.46 is: 155,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,970.12 : 470,971.46 = 103,624.46 : x
  2. Step 2: Convert to fraction form
    313,970.12/470,971.46 = 103,624.46/x
  3. Step 3: Cross multiply
    313,970.12x = 470,971.46 × 103,624.46
  4. Step 4: Simplify right side
    313,970.12x = 48,804,163,217.91
  5. Step 5: Solve for x
    x = 48,804,163,217.91/313,970.12
  6. Step 6: Final answer
    x = 155,442.06

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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.