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Finding the Fourth Proportional to 341,706.40, 512,559.60 and 316,823.20

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Solution

The fourth proportional to 341,706.40, 512,559.60 and 316,823.20 is: 475,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,706.40 : 512,559.60 = 316,823.20 : x
  2. Step 2: Convert to fraction form
    341,706.40/512,559.60 = 316,823.20/x
  3. Step 3: Cross multiply
    341,706.40x = 512,559.60 × 316,823.20
  4. Step 4: Simplify right side
    341,706.40x = 162,390,772,662.72
  5. Step 5: Solve for x
    x = 162,390,772,662.72/341,706.40
  6. Step 6: Final answer
    x = 475,234.80

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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.