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Finding the Fourth Proportional to 405,095.25, 559,024.83 and 223,814.82

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Solution

The fourth proportional to 405,095.25, 559,024.83 and 223,814.82 is: 308,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,095.25 : 559,024.83 = 223,814.82 : x
  2. Step 2: Convert to fraction form
    405,095.25/559,024.83 = 223,814.82/x
  3. Step 3: Cross multiply
    405,095.25x = 559,024.83 × 223,814.82
  4. Step 4: Simplify right side
    405,095.25x = 125,118,041,701.98
  5. Step 5: Solve for x
    x = 125,118,041,701.98/405,095.25
  6. Step 6: Final answer
    x = 308,860.80

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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.