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Finding the Fourth Proportional to 574,720, 793,056.80 and 320,094.88

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Solution

The fourth proportional to 574,720, 793,056.80 and 320,094.88 is: 441,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,720 : 793,056.80 = 320,094.88 : x
  2. Step 2: Convert to fraction form
    574,720/793,056.80 = 320,094.88/x
  3. Step 3: Cross multiply
    574,720x = 793,056.80 × 320,094.88
  4. Step 4: Simplify right side
    574,720x = 253,853,421,229.18
  5. Step 5: Solve for x
    x = 253,853,421,229.18/574,720
  6. Step 6: Final answer
    x = 441,699.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.