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Finding the Fourth Proportional to 711,006, 1,066,902.64 and 425,996.16

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Solution

The fourth proportional to 711,006, 1,066,902.64 and 425,996.16 is: 639,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,006 : 1,066,902.64 = 425,996.16 : x
  2. Step 2: Convert to fraction form
    711,006/1,066,902.64 = 425,996.16/x
  3. Step 3: Cross multiply
    711,006x = 1,066,902.64 × 425,996.16
  4. Step 4: Simplify right side
    711,006x = 454,496,427,733.86
  5. Step 5: Solve for x
    x = 454,496,427,733.86/711,006
  6. Step 6: Final answer
    x = 639,230.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.