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Finding the Fourth Proportional to 295,553.17, 407,705.74 and 180,887.38

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Solution

The fourth proportional to 295,553.17, 407,705.74 and 180,887.38 is: 249,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,553.17 : 407,705.74 = 180,887.38 : x
  2. Step 2: Convert to fraction form
    295,553.17/407,705.74 = 180,887.38/x
  3. Step 3: Cross multiply
    295,553.17x = 407,705.74 × 180,887.38
  4. Step 4: Simplify right side
    295,553.17x = 73,748,821,648.08
  5. Step 5: Solve for x
    x = 73,748,821,648.08/295,553.17
  6. Step 6: Final answer
    x = 249,528.10

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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.