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Finding the Fourth Proportional to 590,134.64, 884,748.24 and 305,520.08

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Solution

The fourth proportional to 590,134.64, 884,748.24 and 305,520.08 is: 458,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,134.64 : 884,748.24 = 305,520.08 : x
  2. Step 2: Convert to fraction form
    590,134.64/884,748.24 = 305,520.08/x
  3. Step 3: Cross multiply
    590,134.64x = 884,748.24 × 305,520.08
  4. Step 4: Simplify right side
    590,134.64x = 270,308,353,064.66
  5. Step 5: Solve for x
    x = 270,308,353,064.66/590,134.64
  6. Step 6: Final answer
    x = 458,045.22

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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.