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Finding the Fourth Proportional to 432,886.98, 648,980.79 and 180,357.66

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Solution

The fourth proportional to 432,886.98, 648,980.79 and 180,357.66 is: 270,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,886.98 : 648,980.79 = 180,357.66 : x
  2. Step 2: Convert to fraction form
    432,886.98/648,980.79 = 180,357.66/x
  3. Step 3: Cross multiply
    432,886.98x = 648,980.79 × 180,357.66
  4. Step 4: Simplify right side
    432,886.98x = 117,048,656,669.35
  5. Step 5: Solve for x
    x = 117,048,656,669.35/432,886.98
  6. Step 6: Final answer
    x = 270,390.80

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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.