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Finding the Fourth Proportional to 294,411.07, 440,944.08 and 175,839.22

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Solution

The fourth proportional to 294,411.07, 440,944.08 and 175,839.22 is: 263,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,411.07 : 440,944.08 = 175,839.22 : x
  2. Step 2: Convert to fraction form
    294,411.07/440,944.08 = 175,839.22/x
  3. Step 3: Cross multiply
    294,411.07x = 440,944.08 × 175,839.22
  4. Step 4: Simplify right side
    294,411.07x = 77,535,263,090.82
  5. Step 5: Solve for x
    x = 77,535,263,090.82/294,411.07
  6. Step 6: Final answer
    x = 263,357.16

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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.