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Finding the Fourth Proportional to 233,147.20, 349,720.80 and 214,776.40

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Solution

The fourth proportional to 233,147.20, 349,720.80 and 214,776.40 is: 322,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.20 : 349,720.80 = 214,776.40 : x
  2. Step 2: Convert to fraction form
    233,147.20/349,720.80 = 214,776.40/x
  3. Step 3: Cross multiply
    233,147.20x = 349,720.80 × 214,776.40
  4. Step 4: Simplify right side
    233,147.20x = 75,111,774,429.12
  5. Step 5: Solve for x
    x = 75,111,774,429.12/233,147.20
  6. Step 6: Final answer
    x = 322,164.60

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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.