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Finding the Fourth Proportional to 714,294.51, 985,723.32 and 392,009.82

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Solution

The fourth proportional to 714,294.51, 985,723.32 and 392,009.82 is: 540,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,294.51 : 985,723.32 = 392,009.82 : x
  2. Step 2: Convert to fraction form
    714,294.51/985,723.32 = 392,009.82/x
  3. Step 3: Cross multiply
    714,294.51x = 985,723.32 × 392,009.82
  4. Step 4: Simplify right side
    714,294.51x = 386,413,221,243.00
  5. Step 5: Solve for x
    x = 386,413,221,243.00/714,294.51
  6. Step 6: Final answer
    x = 540,971.85

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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.