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Finding the Fourth Proportional to 551,030.42, 825,756.42 and 313,883.48

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Solution

The fourth proportional to 551,030.42, 825,756.42 and 313,883.48 is: 470,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,030.42 : 825,756.42 = 313,883.48 : x
  2. Step 2: Convert to fraction form
    551,030.42/825,756.42 = 313,883.48/x
  3. Step 3: Cross multiply
    551,030.42x = 825,756.42 × 313,883.48
  4. Step 4: Simplify right side
    551,030.42x = 259,191,298,741.94
  5. Step 5: Solve for x
    x = 259,191,298,741.94/551,030.42
  6. Step 6: Final answer
    x = 470,375.66

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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.