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Finding the Fourth Proportional to 421,668.76, 581,916.66 and 230,682.16

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Solution

The fourth proportional to 421,668.76, 581,916.66 and 230,682.16 is: 318,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,668.76 : 581,916.66 = 230,682.16 : x
  2. Step 2: Convert to fraction form
    421,668.76/581,916.66 = 230,682.16/x
  3. Step 3: Cross multiply
    421,668.76x = 581,916.66 × 230,682.16
  4. Step 4: Simplify right side
    421,668.76x = 134,237,792,068.79
  5. Step 5: Solve for x
    x = 134,237,792,068.79/421,668.76
  6. Step 6: Final answer
    x = 318,348.91

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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.