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Finding the Fourth Proportional to 772,425.84, 1,158,958.50 and 417,021.87

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Solution

The fourth proportional to 772,425.84, 1,158,958.50 and 417,021.87 is: 625,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,425.84 : 1,158,958.50 = 417,021.87 : x
  2. Step 2: Convert to fraction form
    772,425.84/1,158,958.50 = 417,021.87/x
  3. Step 3: Cross multiply
    772,425.84x = 1,158,958.50 × 417,021.87
  4. Step 4: Simplify right side
    772,425.84x = 483,311,035,127.60
  5. Step 5: Solve for x
    x = 483,311,035,127.60/772,425.84
  6. Step 6: Final answer
    x = 625,705.42

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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.