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Finding the Fourth Proportional to 405,106.02, 559,038.51 and 223,825.86

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Solution

The fourth proportional to 405,106.02, 559,038.51 and 223,825.86 is: 308,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,106.02 : 559,038.51 = 223,825.86 : x
  2. Step 2: Convert to fraction form
    405,106.02/559,038.51 = 223,825.86/x
  3. Step 3: Cross multiply
    405,106.02x = 559,038.51 × 223,825.86
  4. Step 4: Simplify right side
    405,106.02x = 125,127,275,273.87
  5. Step 5: Solve for x
    x = 125,127,275,273.87/405,106.02
  6. Step 6: Final answer
    x = 308,875.38

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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.