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Finding the Fourth Proportional to 397,029,762.60, 595,544,643.90 and 287,340,340.20

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Solution

The fourth proportional to 397,029,762.60, 595,544,643.90 and 287,340,340.20 is: 431,010,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,029,762.60 : 595,544,643.90 = 287,340,340.20 : x
  2. Step 2: Convert to fraction form
    397,029,762.60/595,544,643.90 = 287,340,340.20/x
  3. Step 3: Cross multiply
    397,029,762.60x = 595,544,643.90 × 287,340,340.20
  4. Step 4: Simplify right side
    397,029,762.60x = 171,124,000,582,513,856
  5. Step 5: Solve for x
    x = 171,124,000,582,513,856/397,029,762.60
  6. Step 6: Final answer
    x = 431,010,510.30

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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.