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Finding the Fourth Proportional to 314,235.93, 471,427.70 and 103,873.86

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Solution

The fourth proportional to 314,235.93, 471,427.70 and 103,873.86 is: 155,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,235.93 : 471,427.70 = 103,873.86 : x
  2. Step 2: Convert to fraction form
    314,235.93/471,427.70 = 103,873.86/x
  3. Step 3: Cross multiply
    314,235.93x = 471,427.70 × 103,873.86
  4. Step 4: Simplify right side
    314,235.93x = 48,969,014,390.55
  5. Step 5: Solve for x
    x = 48,969,014,390.55/314,235.93
  6. Step 6: Final answer
    x = 155,835.19

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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.