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Finding the Fourth Proportional to 356,564.16, 492,060.42 and 195,420.60

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Solution

The fourth proportional to 356,564.16, 492,060.42 and 195,420.60 is: 269,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,564.16 : 492,060.42 = 195,420.60 : x
  2. Step 2: Convert to fraction form
    356,564.16/492,060.42 = 195,420.60/x
  3. Step 3: Cross multiply
    356,564.16x = 492,060.42 × 195,420.60
  4. Step 4: Simplify right side
    356,564.16x = 96,158,742,512.65
  5. Step 5: Solve for x
    x = 96,158,742,512.65/356,564.16
  6. Step 6: Final answer
    x = 269,681.46

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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.