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Finding the Fourth Proportional to 467,774.85, 645,601.95 and 307,095.96

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Solution

The fourth proportional to 467,774.85, 645,601.95 and 307,095.96 is: 423,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,774.85 : 645,601.95 = 307,095.96 : x
  2. Step 2: Convert to fraction form
    467,774.85/645,601.95 = 307,095.96/x
  3. Step 3: Cross multiply
    467,774.85x = 645,601.95 × 307,095.96
  4. Step 4: Simplify right side
    467,774.85x = 198,261,750,613.12
  5. Step 5: Solve for x
    x = 198,261,750,613.12/467,774.85
  6. Step 6: Final answer
    x = 423,840.12

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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.