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Finding the Fourth Proportional to 357,743.40, 536,000.70 and 233,020.20

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Solution

The fourth proportional to 357,743.40, 536,000.70 and 233,020.20 is: 349,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,743.40 : 536,000.70 = 233,020.20 : x
  2. Step 2: Convert to fraction form
    357,743.40/536,000.70 = 233,020.20/x
  3. Step 3: Cross multiply
    357,743.40x = 536,000.70 × 233,020.20
  4. Step 4: Simplify right side
    357,743.40x = 124,898,990,314.14
  5. Step 5: Solve for x
    x = 124,898,990,314.14/357,743.40
  6. Step 6: Final answer
    x = 349,130.10

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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.