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Finding the Fourth Proportional to 314,637.93, 472,368.56 and 186,787.67

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Solution

The fourth proportional to 314,637.93, 472,368.56 and 186,787.67 is: 280,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,637.93 : 472,368.56 = 186,787.67 : x
  2. Step 2: Convert to fraction form
    314,637.93/472,368.56 = 186,787.67/x
  3. Step 3: Cross multiply
    314,637.93x = 472,368.56 × 186,787.67
  4. Step 4: Simplify right side
    314,637.93x = 88,232,619,407.87
  5. Step 5: Solve for x
    x = 88,232,619,407.87/314,637.93
  6. Step 6: Final answer
    x = 280,425.88

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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.