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Finding the Fourth Proportional to 434,011, 651,369.66 and 223,709.08

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Solution

The fourth proportional to 434,011, 651,369.66 and 223,709.08 is: 335,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,011 : 651,369.66 = 223,709.08 : x
  2. Step 2: Convert to fraction form
    434,011/651,369.66 = 223,709.08/x
  3. Step 3: Cross multiply
    434,011x = 651,369.66 × 223,709.08
  4. Step 4: Simplify right side
    434,011x = 145,717,307,378.51
  5. Step 5: Solve for x
    x = 145,717,307,378.51/434,011
  6. Step 6: Final answer
    x = 335,745.65

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