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Finding the Fourth Proportional to 349,838.94, 482,772.15 and 194,788.74

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Solution

The fourth proportional to 349,838.94, 482,772.15 and 194,788.74 is: 268,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,838.94 : 482,772.15 = 194,788.74 : x
  2. Step 2: Convert to fraction form
    349,838.94/482,772.15 = 194,788.74/x
  3. Step 3: Cross multiply
    349,838.94x = 482,772.15 × 194,788.74
  4. Step 4: Simplify right side
    349,838.94x = 94,038,578,805.59
  5. Step 5: Solve for x
    x = 94,038,578,805.59/349,838.94
  6. Step 6: Final answer
    x = 268,805.35

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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.