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Finding the Fourth Proportional to 492,262.50, 679,322.61 and 265,908

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Solution

The fourth proportional to 492,262.50, 679,322.61 and 265,908 is: 366,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,262.50 : 679,322.61 = 265,908 : x
  2. Step 2: Convert to fraction form
    492,262.50/679,322.61 = 265,908/x
  3. Step 3: Cross multiply
    492,262.50x = 679,322.61 × 265,908
  4. Step 4: Simplify right side
    492,262.50x = 180,637,316,579.88
  5. Step 5: Solve for x
    x = 180,637,316,579.88/492,262.50
  6. Step 6: Final answer
    x = 366,953.23

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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.