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Finding the Fourth Proportional to 530,133.57, 731,567.64 and 288,409.98

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Solution

The fourth proportional to 530,133.57, 731,567.64 and 288,409.98 is: 397,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,133.57 : 731,567.64 = 288,409.98 : x
  2. Step 2: Convert to fraction form
    530,133.57/731,567.64 = 288,409.98/x
  3. Step 3: Cross multiply
    530,133.57x = 731,567.64 × 288,409.98
  4. Step 4: Simplify right side
    530,133.57x = 210,991,408,421.05
  5. Step 5: Solve for x
    x = 210,991,408,421.05/530,133.57
  6. Step 6: Final answer
    x = 397,996.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.