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Finding the Fourth Proportional to 362,430.96, 500,137.68 and 201,296.40

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Solution

The fourth proportional to 362,430.96, 500,137.68 and 201,296.40 is: 277,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,430.96 : 500,137.68 = 201,296.40 : x
  2. Step 2: Convert to fraction form
    362,430.96/500,137.68 = 201,296.40/x
  3. Step 3: Cross multiply
    362,430.96x = 500,137.68 × 201,296.40
  4. Step 4: Simplify right side
    362,430.96x = 100,675,914,488.35
  5. Step 5: Solve for x
    x = 100,675,914,488.35/362,430.96
  6. Step 6: Final answer
    x = 277,779.57

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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.