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Finding the Fourth Proportional to 514,187.47, 770,808.84 and 177,148

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Solution

The fourth proportional to 514,187.47, 770,808.84 and 177,148 is: 265,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,187.47 : 770,808.84 = 177,148 : x
  2. Step 2: Convert to fraction form
    514,187.47/770,808.84 = 177,148/x
  3. Step 3: Cross multiply
    514,187.47x = 770,808.84 × 177,148
  4. Step 4: Simplify right side
    514,187.47x = 136,547,244,388.32
  5. Step 5: Solve for x
    x = 136,547,244,388.32/514,187.47
  6. Step 6: Final answer
    x = 265,559.26

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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.