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Finding the Fourth Proportional to 513,407.07, 708,198.93 and 322,088.31

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Solution

The fourth proportional to 513,407.07, 708,198.93 and 322,088.31 is: 444,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,407.07 : 708,198.93 = 322,088.31 : x
  2. Step 2: Convert to fraction form
    513,407.07/708,198.93 = 322,088.31/x
  3. Step 3: Cross multiply
    513,407.07x = 708,198.93 × 322,088.31
  4. Step 4: Simplify right side
    513,407.07x = 228,102,596,507.51
  5. Step 5: Solve for x
    x = 228,102,596,507.51/513,407.07
  6. Step 6: Final answer
    x = 444,291.89

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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.