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Finding the Fourth Proportional to 513,096.35, 708,038.98 and 295,269.77

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Solution

The fourth proportional to 513,096.35, 708,038.98 and 295,269.77 is: 407,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,096.35 : 708,038.98 = 295,269.77 : x
  2. Step 2: Convert to fraction form
    513,096.35/708,038.98 = 295,269.77/x
  3. Step 3: Cross multiply
    513,096.35x = 708,038.98 × 295,269.77
  4. Step 4: Simplify right side
    513,096.35x = 209,062,507,807.56
  5. Step 5: Solve for x
    x = 209,062,507,807.56/513,096.35
  6. Step 6: Final answer
    x = 407,452.73

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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.