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Finding the Fourth Proportional to 301,855.60, 452,783.40 and 213,282.10

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Solution

The fourth proportional to 301,855.60, 452,783.40 and 213,282.10 is: 319,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,855.60 : 452,783.40 = 213,282.10 : x
  2. Step 2: Convert to fraction form
    301,855.60/452,783.40 = 213,282.10/x
  3. Step 3: Cross multiply
    301,855.60x = 452,783.40 × 213,282.10
  4. Step 4: Simplify right side
    301,855.60x = 96,570,594,397.14
  5. Step 5: Solve for x
    x = 96,570,594,397.14/301,855.60
  6. Step 6: Final answer
    x = 319,923.15

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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.