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Finding the Fourth Proportional to 366,558.40, 549,665.04 and 142,024

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Solution

The fourth proportional to 366,558.40, 549,665.04 and 142,024 is: 212,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,558.40 : 549,665.04 = 142,024 : x
  2. Step 2: Convert to fraction form
    366,558.40/549,665.04 = 142,024/x
  3. Step 3: Cross multiply
    366,558.40x = 549,665.04 × 142,024
  4. Step 4: Simplify right side
    366,558.40x = 78,065,627,640.96
  5. Step 5: Solve for x
    x = 78,065,627,640.96/366,558.40
  6. Step 6: Final answer
    x = 212,969.14

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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.