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Finding the Fourth Proportional to 514,181.66, 771,196.53 and 301,047.98

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Solution

The fourth proportional to 514,181.66, 771,196.53 and 301,047.98 is: 451,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,181.66 : 771,196.53 = 301,047.98 : x
  2. Step 2: Convert to fraction form
    514,181.66/771,196.53 = 301,047.98/x
  3. Step 3: Cross multiply
    514,181.66x = 771,196.53 × 301,047.98
  4. Step 4: Simplify right side
    514,181.66x = 232,167,157,539.51
  5. Step 5: Solve for x
    x = 232,167,157,539.51/514,181.66
  6. Step 6: Final answer
    x = 451,527.50

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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.