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Finding the Fourth Proportional to 585,795.96, 808,243.38 and 344,001.24

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Solution

The fourth proportional to 585,795.96, 808,243.38 and 344,001.24 is: 474,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,795.96 : 808,243.38 = 344,001.24 : x
  2. Step 2: Convert to fraction form
    585,795.96/808,243.38 = 344,001.24/x
  3. Step 3: Cross multiply
    585,795.96x = 808,243.38 × 344,001.24
  4. Step 4: Simplify right side
    585,795.96x = 278,036,724,941.79
  5. Step 5: Solve for x
    x = 278,036,724,941.79/585,795.96
  6. Step 6: Final answer
    x = 474,630.66

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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.