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Finding the Fourth Proportional to 343,510.29, 474,051.80 and 190,543.50

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Solution

The fourth proportional to 343,510.29, 474,051.80 and 190,543.50 is: 262,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,510.29 : 474,051.80 = 190,543.50 : x
  2. Step 2: Convert to fraction form
    343,510.29/474,051.80 = 190,543.50/x
  3. Step 3: Cross multiply
    343,510.29x = 474,051.80 × 190,543.50
  4. Step 4: Simplify right side
    343,510.29x = 90,327,489,153.30
  5. Step 5: Solve for x
    x = 90,327,489,153.30/343,510.29
  6. Step 6: Final answer
    x = 262,954.25

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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.