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Finding the Fourth Proportional to 409,895.20, 614,842.80 and 241,933.60

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Solution

The fourth proportional to 409,895.20, 614,842.80 and 241,933.60 is: 362,900.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,895.20 : 614,842.80 = 241,933.60 : x
  2. Step 2: Convert to fraction form
    409,895.20/614,842.80 = 241,933.60/x
  3. Step 3: Cross multiply
    409,895.20x = 614,842.80 × 241,933.60
  4. Step 4: Simplify right side
    409,895.20x = 148,751,132,038.08
  5. Step 5: Solve for x
    x = 148,751,132,038.08/409,895.20
  6. Step 6: Final answer
    x = 362,900.40

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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.