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Finding the Fourth Proportional to 537,235.80, 805,953.34 and 177,431.56

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Solution

The fourth proportional to 537,235.80, 805,953.34 and 177,431.56 is: 266,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,235.80 : 805,953.34 = 177,431.56 : x
  2. Step 2: Convert to fraction form
    537,235.80/805,953.34 = 177,431.56/x
  3. Step 3: Cross multiply
    537,235.80x = 805,953.34 × 177,431.56
  4. Step 4: Simplify right side
    537,235.80x = 143,001,558,403.41
  5. Step 5: Solve for x
    x = 143,001,558,403.41/537,235.80
  6. Step 6: Final answer
    x = 266,180.25

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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.