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Finding the Fourth Proportional to 362,828.65, 500,709.53 and 199,492.06

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Solution

The fourth proportional to 362,828.65, 500,709.53 and 199,492.06 is: 275,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,828.65 : 500,709.53 = 199,492.06 : x
  2. Step 2: Convert to fraction form
    362,828.65/500,709.53 = 199,492.06/x
  3. Step 3: Cross multiply
    362,828.65x = 500,709.53 × 199,492.06
  4. Step 4: Simplify right side
    362,828.65x = 99,887,575,601.33
  5. Step 5: Solve for x
    x = 99,887,575,601.33/362,828.65
  6. Step 6: Final answer
    x = 275,302.34

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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.