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Finding the Fourth Proportional to 295,313.20, 407,390.52 and 193,293.76

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Solution

The fourth proportional to 295,313.20, 407,390.52 and 193,293.76 is: 266,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,313.20 : 407,390.52 = 193,293.76 : x
  2. Step 2: Convert to fraction form
    295,313.20/407,390.52 = 193,293.76/x
  3. Step 3: Cross multiply
    295,313.20x = 407,390.52 × 193,293.76
  4. Step 4: Simplify right side
    295,313.20x = 78,746,045,399.16
  5. Step 5: Solve for x
    x = 78,746,045,399.16/295,313.20
  6. Step 6: Final answer
    x = 266,652.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.