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Finding the Fourth Proportional to 333,492.92, 500,164.50 and 153,405.38

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Solution

The fourth proportional to 333,492.92, 500,164.50 and 153,405.38 is: 230,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,492.92 : 500,164.50 = 153,405.38 : x
  2. Step 2: Convert to fraction form
    333,492.92/500,164.50 = 153,405.38/x
  3. Step 3: Cross multiply
    333,492.92x = 500,164.50 × 153,405.38
  4. Step 4: Simplify right side
    333,492.92x = 76,727,925,185.01
  5. Step 5: Solve for x
    x = 76,727,925,185.01/333,492.92
  6. Step 6: Final answer
    x = 230,073.63

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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.