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Finding the Fourth Proportional to 514,071.36, 770,959.08 and 177,098.40

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Solution

The fourth proportional to 514,071.36, 770,959.08 and 177,098.40 is: 265,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,071.36 : 770,959.08 = 177,098.40 : x
  2. Step 2: Convert to fraction form
    514,071.36/770,959.08 = 177,098.40/x
  3. Step 3: Cross multiply
    514,071.36x = 770,959.08 × 177,098.40
  4. Step 4: Simplify right side
    514,071.36x = 136,535,619,533.47
  5. Step 5: Solve for x
    x = 136,535,619,533.47/514,071.36
  6. Step 6: Final answer
    x = 265,596.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.