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Finding the Fourth Proportional to 313,969.74, 470,970.90 and 103,624.08

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Solution

The fourth proportional to 313,969.74, 470,970.90 and 103,624.08 is: 155,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.74 : 470,970.90 = 103,624.08 : x
  2. Step 2: Convert to fraction form
    313,969.74/470,970.90 = 103,624.08/x
  3. Step 3: Cross multiply
    313,969.74x = 470,970.90 × 103,624.08
  4. Step 4: Simplify right side
    313,969.74x = 48,803,926,219.27
  5. Step 5: Solve for x
    x = 48,803,926,219.27/313,969.74
  6. Step 6: Final answer
    x = 155,441.50

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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.