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Finding the Fourth Proportional to 461,929.20, 692,893.80 and 213,097.20

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Solution

The fourth proportional to 461,929.20, 692,893.80 and 213,097.20 is: 319,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,929.20 : 692,893.80 = 213,097.20 : x
  2. Step 2: Convert to fraction form
    461,929.20/692,893.80 = 213,097.20/x
  3. Step 3: Cross multiply
    461,929.20x = 692,893.80 × 213,097.20
  4. Step 4: Simplify right side
    461,929.20x = 147,653,728,677.36
  5. Step 5: Solve for x
    x = 147,653,728,677.36/461,929.20
  6. Step 6: Final answer
    x = 319,645.80

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1.5x scale

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.