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Finding the Fourth Proportional to 467,952.60, 645,774.72 and 264,046.74

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Solution

The fourth proportional to 467,952.60, 645,774.72 and 264,046.74 is: 364,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,952.60 : 645,774.72 = 264,046.74 : x
  2. Step 2: Convert to fraction form
    467,952.60/645,774.72 = 264,046.74/x
  3. Step 3: Cross multiply
    467,952.60x = 645,774.72 × 264,046.74
  4. Step 4: Simplify right side
    467,952.60x = 170,514,709,590.41
  5. Step 5: Solve for x
    x = 170,514,709,590.41/467,952.60
  6. Step 6: Final answer
    x = 364,384.58

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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.