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Finding the Fourth Proportional to 421,389.38, 581,556.84 and 230,430.80

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Solution

The fourth proportional to 421,389.38, 581,556.84 and 230,430.80 is: 318,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,389.38 : 581,556.84 = 230,430.80 : x
  2. Step 2: Convert to fraction form
    421,389.38/581,556.84 = 230,430.80/x
  3. Step 3: Cross multiply
    421,389.38x = 581,556.84 × 230,430.80
  4. Step 4: Simplify right side
    421,389.38x = 134,008,607,886.67
  5. Step 5: Solve for x
    x = 134,008,607,886.67/421,389.38
  6. Step 6: Final answer
    x = 318,016.10

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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.