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Finding the Fourth Proportional to 405,176.50, 559,143.57 and 226,328.50

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Solution

The fourth proportional to 405,176.50, 559,143.57 and 226,328.50 is: 312,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,176.50 : 559,143.57 = 226,328.50 : x
  2. Step 2: Convert to fraction form
    405,176.50/559,143.57 = 226,328.50/x
  3. Step 3: Cross multiply
    405,176.50x = 559,143.57 × 226,328.50
  4. Step 4: Simplify right side
    405,176.50x = 126,550,125,482.75
  5. Step 5: Solve for x
    x = 126,550,125,482.75/405,176.50
  6. Step 6: Final answer
    x = 312,333.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.