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Finding the Fourth Proportional to 502,029.93, 692,731.61 and 295,307.70

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Solution

The fourth proportional to 502,029.93, 692,731.61 and 295,307.70 is: 407,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,029.93 : 692,731.61 = 295,307.70 : x
  2. Step 2: Convert to fraction form
    502,029.93/692,731.61 = 295,307.70/x
  3. Step 3: Cross multiply
    502,029.93x = 692,731.61 × 295,307.70
  4. Step 4: Simplify right side
    502,029.93x = 204,568,976,989.86
  5. Step 5: Solve for x
    x = 204,568,976,989.86/502,029.93
  6. Step 6: Final answer
    x = 407,483.63

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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.