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Finding the Fourth Proportional to 421,488.09, 581,658.15 and 230,497.38

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Solution

The fourth proportional to 421,488.09, 581,658.15 and 230,497.38 is: 318,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,488.09 : 581,658.15 = 230,497.38 : x
  2. Step 2: Convert to fraction form
    421,488.09/581,658.15 = 230,497.38/x
  3. Step 3: Cross multiply
    421,488.09x = 581,658.15 × 230,497.38
  4. Step 4: Simplify right side
    421,488.09x = 134,070,679,630.65
  5. Step 5: Solve for x
    x = 134,070,679,630.65/421,488.09
  6. Step 6: Final answer
    x = 318,088.89

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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.