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Finding the Fourth Proportional to 405,025.20, 607,537.80 and 340,071.30

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Solution

The fourth proportional to 405,025.20, 607,537.80 and 340,071.30 is: 510,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,025.20 : 607,537.80 = 340,071.30 : x
  2. Step 2: Convert to fraction form
    405,025.20/607,537.80 = 340,071.30/x
  3. Step 3: Cross multiply
    405,025.20x = 607,537.80 × 340,071.30
  4. Step 4: Simplify right side
    405,025.20x = 206,606,169,445.14
  5. Step 5: Solve for x
    x = 206,606,169,445.14/405,025.20
  6. Step 6: Final answer
    x = 510,106.95

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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.