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Finding the Fourth Proportional to 513,038.48, 707,991.36 and 286,683.98

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Solution

The fourth proportional to 513,038.48, 707,991.36 and 286,683.98 is: 395,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,038.48 : 707,991.36 = 286,683.98 : x
  2. Step 2: Convert to fraction form
    513,038.48/707,991.36 = 286,683.98/x
  3. Step 3: Cross multiply
    513,038.48x = 707,991.36 × 286,683.98
  4. Step 4: Simplify right side
    513,038.48x = 202,969,780,890.41
  5. Step 5: Solve for x
    x = 202,969,780,890.41/513,038.48
  6. Step 6: Final answer
    x = 395,622.92

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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.