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Finding the Fourth Proportional to 714,678.42, 986,258.16 and 392,409.42

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Solution

The fourth proportional to 714,678.42, 986,258.16 and 392,409.42 is: 541,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,678.42 : 986,258.16 = 392,409.42 : x
  2. Step 2: Convert to fraction form
    714,678.42/986,258.16 = 392,409.42/x
  3. Step 3: Cross multiply
    714,678.42x = 986,258.16 × 392,409.42
  4. Step 4: Simplify right side
    714,678.42x = 387,016,992,535.87
  5. Step 5: Solve for x
    x = 387,016,992,535.87/714,678.42
  6. Step 6: Final answer
    x = 541,526.07

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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.