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Finding the Fourth Proportional to 405,763.32, 559,889.10 and 262,529.40

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Solution

The fourth proportional to 405,763.32, 559,889.10 and 262,529.40 is: 362,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,763.32 : 559,889.10 = 262,529.40 : x
  2. Step 2: Convert to fraction form
    405,763.32/559,889.10 = 262,529.40/x
  3. Step 3: Cross multiply
    405,763.32x = 559,889.10 × 262,529.40
  4. Step 4: Simplify right side
    405,763.32x = 146,987,349,489.54
  5. Step 5: Solve for x
    x = 146,987,349,489.54/405,763.32
  6. Step 6: Final answer
    x = 362,248.98

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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.