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Finding the Fourth Proportional to 313,749.40, 470,624.10 and 166,293.40

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Solution

The fourth proportional to 313,749.40, 470,624.10 and 166,293.40 is: 249,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,749.40 : 470,624.10 = 166,293.40 : x
  2. Step 2: Convert to fraction form
    313,749.40/470,624.10 = 166,293.40/x
  3. Step 3: Cross multiply
    313,749.40x = 470,624.10 × 166,293.40
  4. Step 4: Simplify right side
    313,749.40x = 78,261,681,710.94
  5. Step 5: Solve for x
    x = 78,261,681,710.94/313,749.40
  6. Step 6: Final answer
    x = 249,440.10

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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.