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Finding the Fourth Proportional to 328,075.86, 492,113.76 and 187,735.26

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Solution

The fourth proportional to 328,075.86, 492,113.76 and 187,735.26 is: 281,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,075.86 : 492,113.76 = 187,735.26 : x
  2. Step 2: Convert to fraction form
    328,075.86/492,113.76 = 187,735.26/x
  3. Step 3: Cross multiply
    328,075.86x = 492,113.76 × 187,735.26
  4. Step 4: Simplify right side
    328,075.86x = 92,387,104,683.18
  5. Step 5: Solve for x
    x = 92,387,104,683.18/328,075.86
  6. Step 6: Final answer
    x = 281,602.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.