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Finding the Fourth Proportional to 333,635.76, 500,953.01 and 288,796.19

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Solution

The fourth proportional to 333,635.76, 500,953.01 and 288,796.19 is: 433,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,635.76 : 500,953.01 = 288,796.19 : x
  2. Step 2: Convert to fraction form
    333,635.76/500,953.01 = 288,796.19/x
  3. Step 3: Cross multiply
    333,635.76x = 500,953.01 × 288,796.19
  4. Step 4: Simplify right side
    333,635.76x = 144,673,316,708.29
  5. Step 5: Solve for x
    x = 144,673,316,708.29/333,635.76
  6. Step 6: Final answer
    x = 433,626.53

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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.