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Finding the Fourth Proportional to 369,035.58, 509,295.03 and 205,702.62

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Solution

The fourth proportional to 369,035.58, 509,295.03 and 205,702.62 is: 283,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,035.58 : 509,295.03 = 205,702.62 : x
  2. Step 2: Convert to fraction form
    369,035.58/509,295.03 = 205,702.62/x
  3. Step 3: Cross multiply
    369,035.58x = 509,295.03 × 205,702.62
  4. Step 4: Simplify right side
    369,035.58x = 104,763,322,023.98
  5. Step 5: Solve for x
    x = 104,763,322,023.98/369,035.58
  6. Step 6: Final answer
    x = 283,884.07

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1.5x scale

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.