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Finding the Fourth Proportional to 369,238.64, 509,670.43 and 224,051.00

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Solution

The fourth proportional to 369,238.64, 509,670.43 and 224,051.00 is: 309,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,238.64 : 509,670.43 = 224,051.00 : x
  2. Step 2: Convert to fraction form
    369,238.64/509,670.43 = 224,051.00/x
  3. Step 3: Cross multiply
    369,238.64x = 509,670.43 × 224,051.00
  4. Step 4: Simplify right side
    369,238.64x = 114,192,166,403.45
  5. Step 5: Solve for x
    x = 114,192,166,403.45/369,238.64
  6. Step 6: Final answer
    x = 309,263.86

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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.