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Finding the Fourth Proportional to 599,774.64, 827,152.94 and 497,638.42

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Solution

The fourth proportional to 599,774.64, 827,152.94 and 497,638.42 is: 686,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,774.64 : 827,152.94 = 497,638.42 : x
  2. Step 2: Convert to fraction form
    599,774.64/827,152.94 = 497,638.42/x
  3. Step 3: Cross multiply
    599,774.64x = 827,152.94 × 497,638.42
  4. Step 4: Simplify right side
    599,774.64x = 411,623,082,159.96
  5. Step 5: Solve for x
    x = 411,623,082,159.96/599,774.64
  6. Step 6: Final answer
    x = 686,296.24

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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.