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Finding the Fourth Proportional to 553,698.32, 830,409.24 and 179,828.24

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Solution

The fourth proportional to 553,698.32, 830,409.24 and 179,828.24 is: 269,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,698.32 : 830,409.24 = 179,828.24 : x
  2. Step 2: Convert to fraction form
    553,698.32/830,409.24 = 179,828.24/x
  3. Step 3: Cross multiply
    553,698.32x = 830,409.24 × 179,828.24
  4. Step 4: Simplify right side
    553,698.32x = 149,331,032,108.94
  5. Step 5: Solve for x
    x = 149,331,032,108.94/553,698.32
  6. Step 6: Final answer
    x = 269,697.46

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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.