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Finding the Fourth Proportional to 295,089.88, 407,255.57 and 180,435.72

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Solution

The fourth proportional to 295,089.88, 407,255.57 and 180,435.72 is: 249,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,089.88 : 407,255.57 = 180,435.72 : x
  2. Step 2: Convert to fraction form
    295,089.88/407,255.57 = 180,435.72/x
  3. Step 3: Cross multiply
    295,089.88x = 407,255.57 × 180,435.72
  4. Step 4: Simplify right side
    295,089.88x = 73,483,452,153.22
  5. Step 5: Solve for x
    x = 73,483,452,153.22/295,089.88
  6. Step 6: Final answer
    x = 249,020.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.