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Finding the Fourth Proportional to 262,430.94, 362,329 and 201,894.78

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Solution

The fourth proportional to 262,430.94, 362,329 and 201,894.78 is: 278,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,430.94 : 362,329 = 201,894.78 : x
  2. Step 2: Convert to fraction form
    262,430.94/362,329 = 201,894.78/x
  3. Step 3: Cross multiply
    262,430.94x = 362,329 × 201,894.78
  4. Step 4: Simplify right side
    262,430.94x = 73,152,333,742.62
  5. Step 5: Solve for x
    x = 73,152,333,742.62/262,430.94
  6. Step 6: Final answer
    x = 278,748.89

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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.