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Finding the Fourth Proportional to 448,783.60, 619,378.94 and 257,833.90

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Solution

The fourth proportional to 448,783.60, 619,378.94 and 257,833.90 is: 355,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,783.60 : 619,378.94 = 257,833.90 : x
  2. Step 2: Convert to fraction form
    448,783.60/619,378.94 = 257,833.90/x
  3. Step 3: Cross multiply
    448,783.60x = 619,378.94 × 257,833.90
  4. Step 4: Simplify right side
    448,783.60x = 159,696,887,678.07
  5. Step 5: Solve for x
    x = 159,696,887,678.07/448,783.60
  6. Step 6: Final answer
    x = 355,843.86

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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.