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Finding the Fourth Proportional to 589,363.16, 813,419.00 and 347,705.12

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Solution

The fourth proportional to 589,363.16, 813,419.00 and 347,705.12 is: 479,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,363.16 : 813,419.00 = 347,705.12 : x
  2. Step 2: Convert to fraction form
    589,363.16/813,419.00 = 347,705.12/x
  3. Step 3: Cross multiply
    589,363.16x = 813,419.00 × 347,705.12
  4. Step 4: Simplify right side
    589,363.16x = 282,829,945,199.66
  5. Step 5: Solve for x
    x = 282,829,945,199.66/589,363.16
  6. Step 6: Final answer
    x = 479,890.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.