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Finding the Fourth Proportional to 585,606.16, 878,400.01 and 186,241.16

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Solution

The fourth proportional to 585,606.16, 878,400.01 and 186,241.16 is: 279,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,606.16 : 878,400.01 = 186,241.16 : x
  2. Step 2: Convert to fraction form
    585,606.16/878,400.01 = 186,241.16/x
  3. Step 3: Cross multiply
    585,606.16x = 878,400.01 × 186,241.16
  4. Step 4: Simplify right side
    585,606.16x = 163,594,237,214.26
  5. Step 5: Solve for x
    x = 163,594,237,214.26/585,606.16
  6. Step 6: Final answer
    x = 279,358.81

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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.