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Finding the Fourth Proportional to 407,730.80, 609,627.90 and 301,442.60

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Solution

The fourth proportional to 407,730.80, 609,627.90 and 301,442.60 is: 450,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,730.80 : 609,627.90 = 301,442.60 : x
  2. Step 2: Convert to fraction form
    407,730.80/609,627.90 = 301,442.60/x
  3. Step 3: Cross multiply
    407,730.80x = 609,627.90 × 301,442.60
  4. Step 4: Simplify right side
    407,730.80x = 183,767,819,208.54
  5. Step 5: Solve for x
    x = 183,767,819,208.54/407,730.80
  6. Step 6: Final answer
    x = 450,708.70

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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.