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Finding the Fourth Proportional to 406,668.26, 610,079.15 and 154,024.40

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Solution

The fourth proportional to 406,668.26, 610,079.15 and 154,024.40 is: 231,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,668.26 : 610,079.15 = 154,024.40 : x
  2. Step 2: Convert to fraction form
    406,668.26/610,079.15 = 154,024.40/x
  3. Step 3: Cross multiply
    406,668.26x = 610,079.15 × 154,024.40
  4. Step 4: Simplify right side
    406,668.26x = 93,967,075,031.26
  5. Step 5: Solve for x
    x = 93,967,075,031.26/406,668.26
  6. Step 6: Final answer
    x = 231,065.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.