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Finding the Fourth Proportional to 595,681.62, 822,046.95 and 323,749.50

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Solution

The fourth proportional to 595,681.62, 822,046.95 and 323,749.50 is: 446,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,681.62 : 822,046.95 = 323,749.50 : x
  2. Step 2: Convert to fraction form
    595,681.62/822,046.95 = 323,749.50/x
  3. Step 3: Cross multiply
    595,681.62x = 822,046.95 × 323,749.50
  4. Step 4: Simplify right side
    595,681.62x = 266,137,289,039.03
  5. Step 5: Solve for x
    x = 266,137,289,039.03/595,681.62
  6. Step 6: Final answer
    x = 446,777.74

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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.