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Finding the Fourth Proportional to 333,708.30, 459,360.45 and 291,193.02

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Solution

The fourth proportional to 333,708.30, 459,360.45 and 291,193.02 is: 400,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,708.30 : 459,360.45 = 291,193.02 : x
  2. Step 2: Convert to fraction form
    333,708.30/459,360.45 = 291,193.02/x
  3. Step 3: Cross multiply
    333,708.30x = 459,360.45 × 291,193.02
  4. Step 4: Simplify right side
    333,708.30x = 133,762,556,704.06
  5. Step 5: Solve for x
    x = 133,762,556,704.06/333,708.30
  6. Step 6: Final answer
    x = 400,836.77

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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.