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Finding the Fourth Proportional to 314,776.36, 471,989.55 and 127,569.16

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Solution

The fourth proportional to 314,776.36, 471,989.55 and 127,569.16 is: 191,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,776.36 : 471,989.55 = 127,569.16 : x
  2. Step 2: Convert to fraction form
    314,776.36/471,989.55 = 127,569.16/x
  3. Step 3: Cross multiply
    314,776.36x = 471,989.55 × 127,569.16
  4. Step 4: Simplify right side
    314,776.36x = 60,211,310,422.28
  5. Step 5: Solve for x
    x = 60,211,310,422.28/314,776.36
  6. Step 6: Final answer
    x = 191,282.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.