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Finding the Fourth Proportional to 356,411.94, 491,848.83 and 193,068.81

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Solution

The fourth proportional to 356,411.94, 491,848.83 and 193,068.81 is: 266,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,411.94 : 491,848.83 = 193,068.81 : x
  2. Step 2: Convert to fraction form
    356,411.94/491,848.83 = 193,068.81/x
  3. Step 3: Cross multiply
    356,411.94x = 491,848.83 × 193,068.81
  4. Step 4: Simplify right side
    356,411.94x = 94,960,668,307.99
  5. Step 5: Solve for x
    x = 94,960,668,307.99/356,411.94
  6. Step 6: Final answer
    x = 266,435.15

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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.