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Finding the Fourth Proportional to 578,707.92, 798,826.50 and 471,091.14

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Solution

The fourth proportional to 578,707.92, 798,826.50 and 471,091.14 is: 650,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,707.92 : 798,826.50 = 471,091.14 : x
  2. Step 2: Convert to fraction form
    578,707.92/798,826.50 = 471,091.14/x
  3. Step 3: Cross multiply
    578,707.92x = 798,826.50 × 471,091.14
  4. Step 4: Simplify right side
    578,707.92x = 376,320,086,547.21
  5. Step 5: Solve for x
    x = 376,320,086,547.21/578,707.92
  6. Step 6: Final answer
    x = 650,276.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.