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Finding the Fourth Proportional to 475,895.63, 713,862.88 and 120,918.80

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Solution

The fourth proportional to 475,895.63, 713,862.88 and 120,918.80 is: 181,383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,895.63 : 713,862.88 = 120,918.80 : x
  2. Step 2: Convert to fraction form
    475,895.63/713,862.88 = 120,918.80/x
  3. Step 3: Cross multiply
    475,895.63x = 713,862.88 × 120,918.80
  4. Step 4: Simplify right side
    475,895.63x = 86,319,438,942.53
  5. Step 5: Solve for x
    x = 86,319,438,942.53/475,895.63
  6. Step 6: Final answer
    x = 181,383.13

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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.