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Finding the Fourth Proportional to 535,630.42, 803,448.26 and 180,647.51

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Solution

The fourth proportional to 535,630.42, 803,448.26 and 180,647.51 is: 270,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,630.42 : 803,448.26 = 180,647.51 : x
  2. Step 2: Convert to fraction form
    535,630.42/803,448.26 = 180,647.51/x
  3. Step 3: Cross multiply
    535,630.42x = 803,448.26 × 180,647.51
  4. Step 4: Simplify right side
    535,630.42x = 145,140,926,679.60
  5. Step 5: Solve for x
    x = 145,140,926,679.60/535,630.42
  6. Step 6: Final answer
    x = 270,972.15

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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.