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Finding the Fourth Proportional to 513,092, 708,053.76 and 286,739.36

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Solution

The fourth proportional to 513,092, 708,053.76 and 286,739.36 is: 395,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,092 : 708,053.76 = 286,739.36 : x
  2. Step 2: Convert to fraction form
    513,092/708,053.76 = 286,739.36/x
  3. Step 3: Cross multiply
    513,092x = 708,053.76 × 286,739.36
  4. Step 4: Simplify right side
    513,092x = 203,026,881,987.99
  5. Step 5: Solve for x
    x = 203,026,881,987.99/513,092
  6. Step 6: Final answer
    x = 395,692.94

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