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Finding the Fourth Proportional to 541,485, 812,227.50 and 147,501

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Solution

The fourth proportional to 541,485, 812,227.50 and 147,501 is: 221,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,485 : 812,227.50 = 147,501 : x
  2. Step 2: Convert to fraction form
    541,485/812,227.50 = 147,501/x
  3. Step 3: Cross multiply
    541,485x = 812,227.50 × 147,501
  4. Step 4: Simplify right side
    541,485x = 119,804,368,477.50
  5. Step 5: Solve for x
    x = 119,804,368,477.50/541,485
  6. Step 6: Final answer
    x = 221,251.50

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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.