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Finding the Fourth Proportional to 475,582.49, 713,398.82 and 120,599.58

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Solution

The fourth proportional to 475,582.49, 713,398.82 and 120,599.58 is: 180,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,582.49 : 713,398.82 = 120,599.58 : x
  2. Step 2: Convert to fraction form
    475,582.49/713,398.82 = 120,599.58/x
  3. Step 3: Cross multiply
    475,582.49x = 713,398.82 × 120,599.58
  4. Step 4: Simplify right side
    475,582.49x = 86,035,597,461.50
  5. Step 5: Solve for x
    x = 86,035,597,461.50/475,582.49
  6. Step 6: Final answer
    x = 180,905.73

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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.