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Finding the Fourth Proportional to 405,980.60, 609,009.30 and 110,492.60

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Solution

The fourth proportional to 405,980.60, 609,009.30 and 110,492.60 is: 165,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,980.60 : 609,009.30 = 110,492.60 : x
  2. Step 2: Convert to fraction form
    405,980.60/609,009.30 = 110,492.60/x
  3. Step 3: Cross multiply
    405,980.60x = 609,009.30 × 110,492.60
  4. Step 4: Simplify right side
    405,980.60x = 67,291,020,981.18
  5. Step 5: Solve for x
    x = 67,291,020,981.18/405,980.60
  6. Step 6: Final answer
    x = 165,749.35

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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.