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Finding the Fourth Proportional to 711,907.16, 982,477.50 and 410,095.96

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Solution

The fourth proportional to 711,907.16, 982,477.50 and 410,095.96 is: 565,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,907.16 : 982,477.50 = 410,095.96 : x
  2. Step 2: Convert to fraction form
    711,907.16/982,477.50 = 410,095.96/x
  3. Step 3: Cross multiply
    711,907.16x = 982,477.50 × 410,095.96
  4. Step 4: Simplify right side
    711,907.16x = 402,910,053,540.90
  5. Step 5: Solve for x
    x = 402,910,053,540.90/711,907.16
  6. Step 6: Final answer
    x = 565,958.70

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Why These Related Problems?

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