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Finding the Fourth Proportional to 314,405.20, 471,462.54 and 101,133.55

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Solution

The fourth proportional to 314,405.20, 471,462.54 and 101,133.55 is: 151,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,405.20 : 471,462.54 = 101,133.55 : x
  2. Step 2: Convert to fraction form
    314,405.20/471,462.54 = 101,133.55/x
  3. Step 3: Cross multiply
    314,405.20x = 471,462.54 × 101,133.55
  4. Step 4: Simplify right side
    314,405.20x = 47,680,680,362.22
  5. Step 5: Solve for x
    x = 47,680,680,362.22/314,405.20
  6. Step 6: Final answer
    x = 151,653.60

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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.