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Finding the Fourth Proportional to 772,617.51, 1,159,245.14 and 417,213

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Solution

The fourth proportional to 772,617.51, 1,159,245.14 and 417,213 is: 625,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,617.51 : 1,159,245.14 = 417,213 : x
  2. Step 2: Convert to fraction form
    772,617.51/1,159,245.14 = 417,213/x
  3. Step 3: Cross multiply
    772,617.51x = 1,159,245.14 × 417,213
  4. Step 4: Simplify right side
    772,617.51x = 483,652,140,508.76
  5. Step 5: Solve for x
    x = 483,652,140,508.76/772,617.51
  6. Step 6: Final answer
    x = 625,991.69

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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.