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Finding the Fourth Proportional to 295,157.99, 407,349.41 and 180,503.71

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Solution

The fourth proportional to 295,157.99, 407,349.41 and 180,503.71 is: 249,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,157.99 : 407,349.41 = 180,503.71 : x
  2. Step 2: Convert to fraction form
    295,157.99/407,349.41 = 180,503.71/x
  3. Step 3: Cross multiply
    295,157.99x = 407,349.41 × 180,503.71
  4. Step 4: Simplify right side
    295,157.99x = 73,528,077,850.42
  5. Step 5: Solve for x
    x = 73,528,077,850.42/295,157.99
  6. Step 6: Final answer
    x = 249,114.30

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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.