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Finding the Fourth Proportional to 469,873.40, 648,425.76 and 255,013.58

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Solution

The fourth proportional to 469,873.40, 648,425.76 and 255,013.58 is: 351,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,873.40 : 648,425.76 = 255,013.58 : x
  2. Step 2: Convert to fraction form
    469,873.40/648,425.76 = 255,013.58/x
  3. Step 3: Cross multiply
    469,873.40x = 648,425.76 × 255,013.58
  4. Step 4: Simplify right side
    469,873.40x = 165,357,374,421.82
  5. Step 5: Solve for x
    x = 165,357,374,421.82/469,873.40
  6. Step 6: Final answer
    x = 351,918.99

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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.