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Finding the Fourth Proportional to 711,233.16, 981,518.85 and 405,303

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Solution

The fourth proportional to 711,233.16, 981,518.85 and 405,303 is: 559,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,233.16 : 981,518.85 = 405,303 : x
  2. Step 2: Convert to fraction form
    711,233.16/981,518.85 = 405,303/x
  3. Step 3: Cross multiply
    711,233.16x = 981,518.85 × 405,303
  4. Step 4: Simplify right side
    711,233.16x = 397,812,534,461.55
  5. Step 5: Solve for x
    x = 397,812,534,461.55/711,233.16
  6. Step 6: Final answer
    x = 559,327.88

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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.