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Finding the Fourth Proportional to 492,795.84, 680,058.54 and 266,441.16

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Solution

The fourth proportional to 492,795.84, 680,058.54 and 266,441.16 is: 367,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,795.84 : 680,058.54 = 266,441.16 : x
  2. Step 2: Convert to fraction form
    492,795.84/680,058.54 = 266,441.16/x
  3. Step 3: Cross multiply
    492,795.84x = 680,058.54 × 266,441.16
  4. Step 4: Simplify right side
    492,795.84x = 181,195,586,265.51
  5. Step 5: Solve for x
    x = 181,195,586,265.51/492,795.84
  6. Step 6: Final answer
    x = 367,688.95

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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.