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Finding the Fourth Proportional to 295,172.49, 407,369.42 and 180,518.21

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Solution

The fourth proportional to 295,172.49, 407,369.42 and 180,518.21 is: 249,134.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,172.49 : 407,369.42 = 180,518.21 : x
  2. Step 2: Convert to fraction form
    295,172.49/407,369.42 = 180,518.21/x
  3. Step 3: Cross multiply
    295,172.49x = 407,369.42 × 180,518.21
  4. Step 4: Simplify right side
    295,172.49x = 73,537,598,507.14
  5. Step 5: Solve for x
    x = 73,537,598,507.14/295,172.49
  6. Step 6: Final answer
    x = 249,134.32

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1.5x scale

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.