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Finding the Fourth Proportional to 585,782.43, 808,551.62 and 340,824.83

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Solution

The fourth proportional to 585,782.43, 808,551.62 and 340,824.83 is: 470,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,782.43 : 808,551.62 = 340,824.83 : x
  2. Step 2: Convert to fraction form
    585,782.43/808,551.62 = 340,824.83/x
  3. Step 3: Cross multiply
    585,782.43x = 808,551.62 × 340,824.83
  4. Step 4: Simplify right side
    585,782.43x = 275,574,462,685.84
  5. Step 5: Solve for x
    x = 275,574,462,685.84/585,782.43
  6. Step 6: Final answer
    x = 470,438.25

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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.