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Finding the Fourth Proportional to 503,876.46, 754,038.84 and 314,426.04

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Solution

The fourth proportional to 503,876.46, 754,038.84 and 314,426.04 is: 470,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,876.46 : 754,038.84 = 314,426.04 : x
  2. Step 2: Convert to fraction form
    503,876.46/754,038.84 = 314,426.04/x
  3. Step 3: Cross multiply
    503,876.46x = 754,038.84 × 314,426.04
  4. Step 4: Simplify right side
    503,876.46x = 237,089,446,467.39
  5. Step 5: Solve for x
    x = 237,089,446,467.39/503,876.46
  6. Step 6: Final answer
    x = 470,530.90

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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.