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Finding the Fourth Proportional to 589,064.40, 812,912.76 and 334,419.84

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Solution

The fourth proportional to 589,064.40, 812,912.76 and 334,419.84 is: 461,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,064.40 : 812,912.76 = 334,419.84 : x
  2. Step 2: Convert to fraction form
    589,064.40/812,912.76 = 334,419.84/x
  3. Step 3: Cross multiply
    589,064.40x = 812,912.76 × 334,419.84
  4. Step 4: Simplify right side
    589,064.40x = 271,854,155,133.16
  5. Step 5: Solve for x
    x = 271,854,155,133.16/589,064.40
  6. Step 6: Final answer
    x = 461,501.59

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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.