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Finding the Fourth Proportional to 462,426, 693,639.03 and 130,002

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Solution

The fourth proportional to 462,426, 693,639.03 and 130,002 is: 195,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,426 : 693,639.03 = 130,002 : x
  2. Step 2: Convert to fraction form
    462,426/693,639.03 = 130,002/x
  3. Step 3: Cross multiply
    462,426x = 693,639.03 × 130,002
  4. Step 4: Simplify right side
    462,426x = 90,174,461,178.06
  5. Step 5: Solve for x
    x = 90,174,461,178.06/462,426
  6. Step 6: Final answer
    x = 195,003.01

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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.