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Finding the Fourth Proportional to 312,064.10, 468,096.15 and 312,064.10

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Solution

The fourth proportional to 312,064.10, 468,096.15 and 312,064.10 is: 468,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064.10 : 468,096.15 = 312,064.10 : x
  2. Step 2: Convert to fraction form
    312,064.10/468,096.15 = 312,064.10/x
  3. Step 3: Cross multiply
    312,064.10x = 468,096.15 × 312,064.10
  4. Step 4: Simplify right side
    312,064.10x = 146,076,003,763.22
  5. Step 5: Solve for x
    x = 146,076,003,763.22/312,064.10
  6. Step 6: Final answer
    x = 468,096.15

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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.