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Finding the Fourth Proportional to 432,965.90, 648,136.65 and 314,867.90

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Solution

The fourth proportional to 432,965.90, 648,136.65 and 314,867.90 is: 471,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,965.90 : 648,136.65 = 314,867.90 : x
  2. Step 2: Convert to fraction form
    432,965.90/648,136.65 = 314,867.90/x
  3. Step 3: Cross multiply
    432,965.90x = 648,136.65 × 314,867.90
  4. Step 4: Simplify right side
    432,965.90x = 204,077,425,898.54
  5. Step 5: Solve for x
    x = 204,077,425,898.54/432,965.90
  6. Step 6: Final answer
    x = 471,347.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.