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Finding the Fourth Proportional to 651,024, 977,065.74 and 335,571.12

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Solution

The fourth proportional to 651,024, 977,065.74 and 335,571.12 is: 503,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,024 : 977,065.74 = 335,571.12 : x
  2. Step 2: Convert to fraction form
    651,024/977,065.74 = 335,571.12/x
  3. Step 3: Cross multiply
    651,024x = 977,065.74 × 335,571.12
  4. Step 4: Simplify right side
    651,024x = 327,875,044,685.43
  5. Step 5: Solve for x
    x = 327,875,044,685.43/651,024
  6. Step 6: Final answer
    x = 503,629.74

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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.