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Finding the Fourth Proportional to 314,200.40, 470,609.40 and 307,288.40

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Solution

The fourth proportional to 314,200.40, 470,609.40 and 307,288.40 is: 460,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,200.40 : 470,609.40 = 307,288.40 : x
  2. Step 2: Convert to fraction form
    314,200.40/470,609.40 = 307,288.40/x
  3. Step 3: Cross multiply
    314,200.40x = 470,609.40 × 307,288.40
  4. Step 4: Simplify right side
    314,200.40x = 144,612,809,550.96
  5. Step 5: Solve for x
    x = 144,612,809,550.96/314,200.40
  6. Step 6: Final answer
    x = 460,256.61

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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.