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Finding the Fourth Proportional to 421,089.21, 581,117.43 and 230,114.90

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Solution

The fourth proportional to 421,089.21, 581,117.43 and 230,114.90 is: 317,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,089.21 : 581,117.43 = 230,114.90 : x
  2. Step 2: Convert to fraction form
    421,089.21/581,117.43 = 230,114.90/x
  3. Step 3: Cross multiply
    421,089.21x = 581,117.43 × 230,114.90
  4. Step 4: Simplify right side
    421,089.21x = 133,723,776,387.12
  5. Step 5: Solve for x
    x = 133,723,776,387.12/421,089.21
  6. Step 6: Final answer
    x = 317,566.38

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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.