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Finding the Fourth Proportional to 314,972.88, 472,356.64 and 104,554.32

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Solution

The fourth proportional to 314,972.88, 472,356.64 and 104,554.32 is: 156,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,972.88 : 472,356.64 = 104,554.32 : x
  2. Step 2: Convert to fraction form
    314,972.88/472,356.64 = 104,554.32/x
  3. Step 3: Cross multiply
    314,972.88x = 472,356.64 × 104,554.32
  4. Step 4: Simplify right side
    314,972.88x = 49,386,927,292.68
  5. Step 5: Solve for x
    x = 49,386,927,292.68/314,972.88
  6. Step 6: Final answer
    x = 156,797.40

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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.