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Finding the Fourth Proportional to 405,179.91, 607,284.45 and 188,746.92

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Solution

The fourth proportional to 405,179.91, 607,284.45 and 188,746.92 is: 282,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,179.91 : 607,284.45 = 188,746.92 : x
  2. Step 2: Convert to fraction form
    405,179.91/607,284.45 = 188,746.92/x
  3. Step 3: Cross multiply
    405,179.91x = 607,284.45 × 188,746.92
  4. Step 4: Simplify right side
    405,179.91x = 114,623,069,501.39
  5. Step 5: Solve for x
    x = 114,623,069,501.39/405,179.91
  6. Step 6: Final answer
    x = 282,894.26

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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.