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Finding the Fourth Proportional to 314,720.16, 471,458.16 and 148,624.80

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Solution

The fourth proportional to 314,720.16, 471,458.16 and 148,624.80 is: 222,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720.16 : 471,458.16 = 148,624.80 : x
  2. Step 2: Convert to fraction form
    314,720.16/471,458.16 = 148,624.80/x
  3. Step 3: Cross multiply
    314,720.16x = 471,458.16 × 148,624.80
  4. Step 4: Simplify right side
    314,720.16x = 70,070,374,738.37
  5. Step 5: Solve for x
    x = 70,070,374,738.37/314,720.16
  6. Step 6: Final answer
    x = 222,643.43

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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.