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Finding the Fourth Proportional to 362,970.54, 544,566.57 and 185,602.14

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Solution

The fourth proportional to 362,970.54, 544,566.57 and 185,602.14 is: 278,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,970.54 : 544,566.57 = 185,602.14 : x
  2. Step 2: Convert to fraction form
    362,970.54/544,566.57 = 185,602.14/x
  3. Step 3: Cross multiply
    362,970.54x = 544,566.57 × 185,602.14
  4. Step 4: Simplify right side
    362,970.54x = 101,072,720,764.46
  5. Step 5: Solve for x
    x = 101,072,720,764.46/362,970.54
  6. Step 6: Final answer
    x = 278,459.85

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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.