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Finding the Fourth Proportional to 595,681.12, 822,046.26 and 323,749

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Solution

The fourth proportional to 595,681.12, 822,046.26 and 323,749 is: 446,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,681.12 : 822,046.26 = 323,749 : x
  2. Step 2: Convert to fraction form
    595,681.12/822,046.26 = 323,749/x
  3. Step 3: Cross multiply
    595,681.12x = 822,046.26 × 323,749
  4. Step 4: Simplify right side
    595,681.12x = 266,136,654,628.74
  5. Step 5: Solve for x
    x = 266,136,654,628.74/595,681.12
  6. Step 6: Final answer
    x = 446,777.05

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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.