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Finding the Fourth Proportional to 475,583.38, 713,468.31 and 176,066.26

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Solution

The fourth proportional to 475,583.38, 713,468.31 and 176,066.26 is: 264,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,583.38 : 713,468.31 = 176,066.26 : x
  2. Step 2: Convert to fraction form
    475,583.38/713,468.31 = 176,066.26/x
  3. Step 3: Cross multiply
    475,583.38x = 713,468.31 × 176,066.26
  4. Step 4: Simplify right side
    475,583.38x = 125,617,696,970.22
  5. Step 5: Solve for x
    x = 125,617,696,970.22/475,583.38
  6. Step 6: Final answer
    x = 264,133.91

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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.