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Finding the Fourth Proportional to 369,733.84, 509,997.84 and 242,417.68

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Solution

The fourth proportional to 369,733.84, 509,997.84 and 242,417.68 is: 334,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,733.84 : 509,997.84 = 242,417.68 : x
  2. Step 2: Convert to fraction form
    369,733.84/509,997.84 = 242,417.68/x
  3. Step 3: Cross multiply
    369,733.84x = 509,997.84 × 242,417.68
  4. Step 4: Simplify right side
    369,733.84x = 123,632,493,177.81
  5. Step 5: Solve for x
    x = 123,632,493,177.81/369,733.84
  6. Step 6: Final answer
    x = 334,382.41

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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.