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Finding the Fourth Proportional to 323,809.47, 446,859.02 and 180,578.58

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Solution

The fourth proportional to 323,809.47, 446,859.02 and 180,578.58 is: 249,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,809.47 : 446,859.02 = 180,578.58 : x
  2. Step 2: Convert to fraction form
    323,809.47/446,859.02 = 180,578.58/x
  3. Step 3: Cross multiply
    323,809.47x = 446,859.02 × 180,578.58
  4. Step 4: Simplify right side
    323,809.47x = 80,693,167,291.79
  5. Step 5: Solve for x
    x = 80,693,167,291.79/323,809.47
  6. Step 6: Final answer
    x = 249,199.53

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1.5x scale

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.