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Finding the Fourth Proportional to 446,547.20, 669,842.67 and 180,274.52

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Solution

The fourth proportional to 446,547.20, 669,842.67 and 180,274.52 is: 270,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,547.20 : 669,842.67 = 180,274.52 : x
  2. Step 2: Convert to fraction form
    446,547.20/669,842.67 = 180,274.52/x
  3. Step 3: Cross multiply
    446,547.20x = 669,842.67 × 180,274.52
  4. Step 4: Simplify right side
    446,547.20x = 120,755,565,809.77
  5. Step 5: Solve for x
    x = 120,755,565,809.77/446,547.20
  6. Step 6: Final answer
    x = 270,420.61

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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.