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Finding the Fourth Proportional to 295,165.81, 407,360.10 and 180,511.48

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Solution

The fourth proportional to 295,165.81, 407,360.10 and 180,511.48 is: 249,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,165.81 : 407,360.10 = 180,511.48 : x
  2. Step 2: Convert to fraction form
    295,165.81/407,360.10 = 180,511.48/x
  3. Step 3: Cross multiply
    295,165.81x = 407,360.10 × 180,511.48
  4. Step 4: Simplify right side
    295,165.81x = 73,533,174,543.95
  5. Step 5: Solve for x
    x = 73,533,174,543.95/295,165.81
  6. Step 6: Final answer
    x = 249,124.97

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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.