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Finding the Fourth Proportional to 306,459.51, 459,590.28 and 111,684.96

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Solution

The fourth proportional to 306,459.51, 459,590.28 and 111,684.96 is: 167,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,459.51 : 459,590.28 = 111,684.96 : x
  2. Step 2: Convert to fraction form
    306,459.51/459,590.28 = 111,684.96/x
  3. Step 3: Cross multiply
    306,459.51x = 459,590.28 × 111,684.96
  4. Step 4: Simplify right side
    306,459.51x = 51,329,322,038.19
  5. Step 5: Solve for x
    x = 51,329,322,038.19/306,459.51
  6. Step 6: Final answer
    x = 167,491.37

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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.