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Finding the Fourth Proportional to 553,193.25, 830,490.26 and 339,436.05

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Solution

The fourth proportional to 553,193.25, 830,490.26 and 339,436.05 is: 509,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,193.25 : 830,490.26 = 339,436.05 : x
  2. Step 2: Convert to fraction form
    553,193.25/830,490.26 = 339,436.05/x
  3. Step 3: Cross multiply
    553,193.25x = 830,490.26 × 339,436.05
  4. Step 4: Simplify right side
    553,193.25x = 281,898,333,417.87
  5. Step 5: Solve for x
    x = 281,898,333,417.87/553,193.25
  6. Step 6: Final answer
    x = 509,583.83

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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.