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Finding the Fourth Proportional to 341,903.08, 512,912.94 and 152,432.20

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Solution

The fourth proportional to 341,903.08, 512,912.94 and 152,432.20 is: 228,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,903.08 : 512,912.94 = 152,432.20 : x
  2. Step 2: Convert to fraction form
    341,903.08/512,912.94 = 152,432.20/x
  3. Step 3: Cross multiply
    341,903.08x = 512,912.94 × 152,432.20
  4. Step 4: Simplify right side
    341,903.08x = 78,184,447,852.67
  5. Step 5: Solve for x
    x = 78,184,447,852.67/341,903.08
  6. Step 6: Final answer
    x = 228,674.30

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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.