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Finding the Fourth Proportional to 1,024,419.30, 1,536,628.95 and 971,931.30

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Solution

The fourth proportional to 1,024,419.30, 1,536,628.95 and 971,931.30 is: 1,457,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,419.30 : 1,536,628.95 = 971,931.30 : x
  2. Step 2: Convert to fraction form
    1,024,419.30/1,536,628.95 = 971,931.30/x
  3. Step 3: Cross multiply
    1,024,419.30x = 1,536,628.95 × 971,931.30
  4. Step 4: Simplify right side
    1,024,419.30x = 1,493,497,772,991.14
  5. Step 5: Solve for x
    x = 1,493,497,772,991.14/1,024,419.30
  6. Step 6: Final answer
    x = 1,457,896.95

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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.