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Finding the Fourth Proportional to 589,001.42, 812,800.42 and 359,942.10

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Solution

The fourth proportional to 589,001.42, 812,800.42 and 359,942.10 is: 496,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,001.42 : 812,800.42 = 359,942.10 : x
  2. Step 2: Convert to fraction form
    589,001.42/812,800.42 = 359,942.10/x
  3. Step 3: Cross multiply
    589,001.42x = 812,800.42 × 359,942.10
  4. Step 4: Simplify right side
    589,001.42x = 292,561,090,055.68
  5. Step 5: Solve for x
    x = 292,561,090,055.68/589,001.42
  6. Step 6: Final answer
    x = 496,706.94

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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.