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Finding the Fourth Proportional to 362,512.51, 500,154.42 and 209,494.96

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Solution

The fourth proportional to 362,512.51, 500,154.42 and 209,494.96 is: 289,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,512.51 : 500,154.42 = 209,494.96 : x
  2. Step 2: Convert to fraction form
    362,512.51/500,154.42 = 209,494.96/x
  3. Step 3: Cross multiply
    362,512.51x = 500,154.42 × 209,494.96
  4. Step 4: Simplify right side
    362,512.51x = 104,779,830,211.72
  5. Step 5: Solve for x
    x = 104,779,830,211.72/362,512.51
  6. Step 6: Final answer
    x = 289,037.83

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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.