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Finding the Fourth Proportional to 470,319.09, 705,329.60 and 154,702.59

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Solution

The fourth proportional to 470,319.09, 705,329.60 and 154,702.59 is: 232,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,319.09 : 705,329.60 = 154,702.59 : x
  2. Step 2: Convert to fraction form
    470,319.09/705,329.60 = 154,702.59/x
  3. Step 3: Cross multiply
    470,319.09x = 705,329.60 × 154,702.59
  4. Step 4: Simplify right side
    470,319.09x = 109,116,315,150.15
  5. Step 5: Solve for x
    x = 109,116,315,150.15/470,319.09
  6. Step 6: Final answer
    x = 232,004.86

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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.