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Finding the Fourth Proportional to 492,282, 679,349.16 and 265,927.50

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Solution

The fourth proportional to 492,282, 679,349.16 and 265,927.50 is: 366,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,282 : 679,349.16 = 265,927.50 : x
  2. Step 2: Convert to fraction form
    492,282/679,349.16 = 265,927.50/x
  3. Step 3: Cross multiply
    492,282x = 679,349.16 × 265,927.50
  4. Step 4: Simplify right side
    492,282x = 180,657,623,745.90
  5. Step 5: Solve for x
    x = 180,657,623,745.90/492,282
  6. Step 6: Final answer
    x = 366,979.95

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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.