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Finding the Fourth Proportional to 421,519.08, 581,708.64 and 230,545.40

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Solution

The fourth proportional to 421,519.08, 581,708.64 and 230,545.40 is: 318,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,519.08 : 581,708.64 = 230,545.40 : x
  2. Step 2: Convert to fraction form
    421,519.08/581,708.64 = 230,545.40/x
  3. Step 3: Cross multiply
    421,519.08x = 581,708.64 × 230,545.40
  4. Step 4: Simplify right side
    421,519.08x = 134,110,251,092.26
  5. Step 5: Solve for x
    x = 134,110,251,092.26/421,519.08
  6. Step 6: Final answer
    x = 318,159.38

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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.