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Finding the Fourth Proportional to 597,124.80, 824,023.80 and 338,999.40

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Solution

The fourth proportional to 597,124.80, 824,023.80 and 338,999.40 is: 467,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,124.80 : 824,023.80 = 338,999.40 : x
  2. Step 2: Convert to fraction form
    597,124.80/824,023.80 = 338,999.40/x
  3. Step 3: Cross multiply
    597,124.80x = 824,023.80 × 338,999.40
  4. Step 4: Simplify right side
    597,124.80x = 279,343,573,785.72
  5. Step 5: Solve for x
    x = 279,343,573,785.72/597,124.80
  6. Step 6: Final answer
    x = 467,814.39

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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.