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Finding the Fourth Proportional to 532,038.42, 734,190.21 and 290,314.98

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Solution

The fourth proportional to 532,038.42, 734,190.21 and 290,314.98 is: 400,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,038.42 : 734,190.21 = 290,314.98 : x
  2. Step 2: Convert to fraction form
    532,038.42/734,190.21 = 290,314.98/x
  3. Step 3: Cross multiply
    532,038.42x = 734,190.21 × 290,314.98
  4. Step 4: Simplify right side
    532,038.42x = 213,146,416,132.35
  5. Step 5: Solve for x
    x = 213,146,416,132.35/532,038.42
  6. Step 6: Final answer
    x = 400,622.23

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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.