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Finding the Fourth Proportional to 590,926, 815,480.04 and 322,654

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Solution

The fourth proportional to 590,926, 815,480.04 and 322,654 is: 445,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,926 : 815,480.04 = 322,654 : x
  2. Step 2: Convert to fraction form
    590,926/815,480.04 = 322,654/x
  3. Step 3: Cross multiply
    590,926x = 815,480.04 × 322,654
  4. Step 4: Simplify right side
    590,926x = 263,117,896,826.16
  5. Step 5: Solve for x
    x = 263,117,896,826.16/590,926
  6. Step 6: Final answer
    x = 445,263.70

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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.