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Finding the Fourth Proportional to 438,367.77, 605,085.36 and 257,152.95

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Solution

The fourth proportional to 438,367.77, 605,085.36 and 257,152.95 is: 354,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,367.77 : 605,085.36 = 257,152.95 : x
  2. Step 2: Convert to fraction form
    438,367.77/605,085.36 = 257,152.95/x
  3. Step 3: Cross multiply
    438,367.77x = 605,085.36 × 257,152.95
  4. Step 4: Simplify right side
    438,367.77x = 155,599,485,325.81
  5. Step 5: Solve for x
    x = 155,599,485,325.81/438,367.77
  6. Step 6: Final answer
    x = 354,951.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.