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Finding the Fourth Proportional to 310,655.37, 465,235.71 and 177,130.82

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Solution

The fourth proportional to 310,655.37, 465,235.71 and 177,130.82 is: 265,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,655.37 : 465,235.71 = 177,130.82 : x
  2. Step 2: Convert to fraction form
    310,655.37/465,235.71 = 177,130.82/x
  3. Step 3: Cross multiply
    310,655.37x = 465,235.71 × 177,130.82
  4. Step 4: Simplify right side
    310,655.37x = 82,407,582,805.58
  5. Step 5: Solve for x
    x = 82,407,582,805.58/310,655.37
  6. Step 6: Final answer
    x = 265,270.11

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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.