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Finding the Fourth Proportional to 514,527.95, 771,873.75 and 159,468.50

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Solution

The fourth proportional to 514,527.95, 771,873.75 and 159,468.50 is: 239,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,527.95 : 771,873.75 = 159,468.50 : x
  2. Step 2: Convert to fraction form
    514,527.95/771,873.75 = 159,468.50/x
  3. Step 3: Cross multiply
    514,527.95x = 771,873.75 × 159,468.50
  4. Step 4: Simplify right side
    514,527.95x = 123,089,551,031.56
  5. Step 5: Solve for x
    x = 123,089,551,031.56/514,527.95
  6. Step 6: Final answer
    x = 239,228.11

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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.