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Finding the Fourth Proportional to 589,157.66, 813,113.44 and 359,666.84

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Solution

The fourth proportional to 589,157.66, 813,113.44 and 359,666.84 is: 496,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,157.66 : 813,113.44 = 359,666.84 : x
  2. Step 2: Convert to fraction form
    589,157.66/813,113.44 = 359,666.84/x
  3. Step 3: Cross multiply
    589,157.66x = 813,113.44 × 359,666.84
  4. Step 4: Simplify right side
    589,157.66x = 292,449,941,526.33
  5. Step 5: Solve for x
    x = 292,449,941,526.33/589,157.66
  6. Step 6: Final answer
    x = 496,386.56

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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.