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Finding the Fourth Proportional to 314,898.66, 434,482.59 and 192,359.82

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Solution

The fourth proportional to 314,898.66, 434,482.59 and 192,359.82 is: 265,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,898.66 : 434,482.59 = 192,359.82 : x
  2. Step 2: Convert to fraction form
    314,898.66/434,482.59 = 192,359.82/x
  3. Step 3: Cross multiply
    314,898.66x = 434,482.59 × 192,359.82
  4. Step 4: Simplify right side
    314,898.66x = 83,576,992,805.53
  5. Step 5: Solve for x
    x = 83,576,992,805.53/314,898.66
  6. Step 6: Final answer
    x = 265,409.17

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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.