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Finding the Fourth Proportional to 597,191.68, 824,124.54 and 328,919.68

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Solution

The fourth proportional to 597,191.68, 824,124.54 and 328,919.68 is: 453,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,191.68 : 824,124.54 = 328,919.68 : x
  2. Step 2: Convert to fraction form
    597,191.68/824,124.54 = 328,919.68/x
  3. Step 3: Cross multiply
    597,191.68x = 824,124.54 × 328,919.68
  4. Step 4: Simplify right side
    597,191.68x = 271,070,779,976.95
  5. Step 5: Solve for x
    x = 271,070,779,976.95/597,191.68
  6. Step 6: Final answer
    x = 453,909.17

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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.