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Finding the Fourth Proportional to 314,033.90, 471,051.08 and 77,376.58

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Solution

The fourth proportional to 314,033.90, 471,051.08 and 77,376.58 is: 116,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,033.90 : 471,051.08 = 77,376.58 : x
  2. Step 2: Convert to fraction form
    314,033.90/471,051.08 = 77,376.58/x
  3. Step 3: Cross multiply
    314,033.90x = 471,051.08 × 77,376.58
  4. Step 4: Simplify right side
    314,033.90x = 36,448,321,188.82
  5. Step 5: Solve for x
    x = 36,448,321,188.82/314,033.90
  6. Step 6: Final answer
    x = 116,064.93

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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.