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Finding the Fourth Proportional to 413,213.60, 619,820.40 and 308,237.60

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Solution

The fourth proportional to 413,213.60, 619,820.40 and 308,237.60 is: 462,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,213.60 : 619,820.40 = 308,237.60 : x
  2. Step 2: Convert to fraction form
    413,213.60/619,820.40 = 308,237.60/x
  3. Step 3: Cross multiply
    413,213.60x = 619,820.40 × 308,237.60
  4. Step 4: Simplify right side
    413,213.60x = 191,051,952,527.04
  5. Step 5: Solve for x
    x = 191,051,952,527.04/413,213.60
  6. Step 6: Final answer
    x = 462,356.40

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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.