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Finding the Fourth Proportional to 233,591.30, 349,106.86 and 170,544.24

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Solution

The fourth proportional to 233,591.30, 349,106.86 and 170,544.24 is: 254,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,591.30 : 349,106.86 = 170,544.24 : x
  2. Step 2: Convert to fraction form
    233,591.30/349,106.86 = 170,544.24/x
  3. Step 3: Cross multiply
    233,591.30x = 349,106.86 × 170,544.24
  4. Step 4: Simplify right side
    233,591.30x = 59,538,164,117.49
  5. Step 5: Solve for x
    x = 59,538,164,117.49/233,591.30
  6. Step 6: Final answer
    x = 254,881.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.