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Finding the Fourth Proportional to 314,710.66, 472,477.52 and 186,860.31

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Solution

The fourth proportional to 314,710.66, 472,477.52 and 186,860.31 is: 280,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,710.66 : 472,477.52 = 186,860.31 : x
  2. Step 2: Convert to fraction form
    314,710.66/472,477.52 = 186,860.31/x
  3. Step 3: Cross multiply
    314,710.66x = 472,477.52 × 186,860.31
  4. Step 4: Simplify right side
    314,710.66x = 88,287,295,855.23
  5. Step 5: Solve for x
    x = 88,287,295,855.23/314,710.66
  6. Step 6: Final answer
    x = 280,534.81

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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.