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Finding the Fourth Proportional to 304,550.32, 420,323.68 and 175,463.68

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Solution

The fourth proportional to 304,550.32, 420,323.68 and 175,463.68 is: 242,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,550.32 : 420,323.68 = 175,463.68 : x
  2. Step 2: Convert to fraction form
    304,550.32/420,323.68 = 175,463.68/x
  3. Step 3: Cross multiply
    304,550.32x = 420,323.68 × 175,463.68
  4. Step 4: Simplify right side
    304,550.32x = 73,751,539,683.94
  5. Step 5: Solve for x
    x = 73,751,539,683.94/304,550.32
  6. Step 6: Final answer
    x = 242,165.37

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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.