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Finding the Fourth Proportional to 414,292.92, 571,802.74 and 259,316.08

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Solution

The fourth proportional to 414,292.92, 571,802.74 and 259,316.08 is: 357,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,292.92 : 571,802.74 = 259,316.08 : x
  2. Step 2: Convert to fraction form
    414,292.92/571,802.74 = 259,316.08/x
  3. Step 3: Cross multiply
    414,292.92x = 571,802.74 × 259,316.08
  4. Step 4: Simplify right side
    414,292.92x = 148,277,645,070.06
  5. Step 5: Solve for x
    x = 148,277,645,070.06/414,292.92
  6. Step 6: Final answer
    x = 357,905.33

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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.