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Finding the Fourth Proportional to 434,804.88, 599,754.60 and 314,123.52

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Solution

The fourth proportional to 434,804.88, 599,754.60 and 314,123.52 is: 433,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,804.88 : 599,754.60 = 314,123.52 : x
  2. Step 2: Convert to fraction form
    434,804.88/599,754.60 = 314,123.52/x
  3. Step 3: Cross multiply
    434,804.88x = 599,754.60 × 314,123.52
  4. Step 4: Simplify right side
    434,804.88x = 188,397,026,088.19
  5. Step 5: Solve for x
    x = 188,397,026,088.19/434,804.88
  6. Step 6: Final answer
    x = 433,290.97

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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.