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Finding the Fourth Proportional to 390,015.80, 585,023.70 and 341,804.60

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Solution

The fourth proportional to 390,015.80, 585,023.70 and 341,804.60 is: 512,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,015.80 : 585,023.70 = 341,804.60 : x
  2. Step 2: Convert to fraction form
    390,015.80/585,023.70 = 341,804.60/x
  3. Step 3: Cross multiply
    390,015.80x = 585,023.70 × 341,804.60
  4. Step 4: Simplify right side
    390,015.80x = 199,963,791,769.02
  5. Step 5: Solve for x
    x = 199,963,791,769.02/390,015.80
  6. Step 6: Final answer
    x = 512,706.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.