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Finding the Fourth Proportional to 390,071.40, 585,107.10 and 201,114.60

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Solution

The fourth proportional to 390,071.40, 585,107.10 and 201,114.60 is: 301,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,071.40 : 585,107.10 = 201,114.60 : x
  2. Step 2: Convert to fraction form
    390,071.40/585,107.10 = 201,114.60/x
  3. Step 3: Cross multiply
    390,071.40x = 585,107.10 × 201,114.60
  4. Step 4: Simplify right side
    390,071.40x = 117,673,580,373.66
  5. Step 5: Solve for x
    x = 117,673,580,373.66/390,071.40
  6. Step 6: Final answer
    x = 301,671.90

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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.