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Finding the Fourth Proportional to 312,004.08, 468,045 and 101,585.52

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Solution

The fourth proportional to 312,004.08, 468,045 and 101,585.52 is: 152,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,004.08 : 468,045 = 101,585.52 : x
  2. Step 2: Convert to fraction form
    312,004.08/468,045 = 101,585.52/x
  3. Step 3: Cross multiply
    312,004.08x = 468,045 × 101,585.52
  4. Step 4: Simplify right side
    312,004.08x = 47,546,594,708.40
  5. Step 5: Solve for x
    x = 47,546,594,708.40/312,004.08
  6. Step 6: Final answer
    x = 152,390.94

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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.