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Finding the Fourth Proportional to 395,477.83, 545,756.70 and 214,185.63

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Solution

The fourth proportional to 395,477.83, 545,756.70 and 214,185.63 is: 295,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,477.83 : 545,756.70 = 214,185.63 : x
  2. Step 2: Convert to fraction form
    395,477.83/545,756.70 = 214,185.63/x
  3. Step 3: Cross multiply
    395,477.83x = 545,756.70 × 214,185.63
  4. Step 4: Simplify right side
    395,477.83x = 116,893,242,616.22
  5. Step 5: Solve for x
    x = 116,893,242,616.22/395,477.83
  6. Step 6: Final answer
    x = 295,574.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.