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Finding the Fourth Proportional to 406,590.74, 609,916.06 and 107,069.24

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Solution

The fourth proportional to 406,590.74, 609,916.06 and 107,069.24 is: 160,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,590.74 : 609,916.06 = 107,069.24 : x
  2. Step 2: Convert to fraction form
    406,590.74/609,916.06 = 107,069.24/x
  3. Step 3: Cross multiply
    406,590.74x = 609,916.06 × 107,069.24
  4. Step 4: Simplify right side
    406,590.74x = 65,303,249,007.99
  5. Step 5: Solve for x
    x = 65,303,249,007.99/406,590.74
  6. Step 6: Final answer
    x = 160,611.75

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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.