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Finding the Fourth Proportional to 402,598, 603,900.65 and 122,115.25

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Solution

The fourth proportional to 402,598, 603,900.65 and 122,115.25 is: 183,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,598 : 603,900.65 = 122,115.25 : x
  2. Step 2: Convert to fraction form
    402,598/603,900.65 = 122,115.25/x
  3. Step 3: Cross multiply
    402,598x = 603,900.65 × 122,115.25
  4. Step 4: Simplify right side
    402,598x = 73,745,478,849.91
  5. Step 5: Solve for x
    x = 73,745,478,849.91/402,598
  6. Step 6: Final answer
    x = 183,173.98

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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.