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Finding the Fourth Proportional to 360,895.98, 541,341.54 and 282,076.50

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Solution

The fourth proportional to 360,895.98, 541,341.54 and 282,076.50 is: 423,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,895.98 : 541,341.54 = 282,076.50 : x
  2. Step 2: Convert to fraction form
    360,895.98/541,341.54 = 282,076.50/x
  3. Step 3: Cross multiply
    360,895.98x = 541,341.54 × 282,076.50
  4. Step 4: Simplify right side
    360,895.98x = 152,699,726,907.81
  5. Step 5: Solve for x
    x = 152,699,726,907.81/360,895.98
  6. Step 6: Final answer
    x = 423,112.85

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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.