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Finding the Fourth Proportional to 476,438.54, 714,506.08 and 156,516.15

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Solution

The fourth proportional to 476,438.54, 714,506.08 and 156,516.15 is: 234,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,438.54 : 714,506.08 = 156,516.15 : x
  2. Step 2: Convert to fraction form
    476,438.54/714,506.08 = 156,516.15/x
  3. Step 3: Cross multiply
    476,438.54x = 714,506.08 × 156,516.15
  4. Step 4: Simplify right side
    476,438.54x = 111,831,739,355.67
  5. Step 5: Solve for x
    x = 111,831,739,355.67/476,438.54
  6. Step 6: Final answer
    x = 234,724.38

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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.