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Finding the Fourth Proportional to 314,547.84, 471,896.28 and 137,086.56

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Solution

The fourth proportional to 314,547.84, 471,896.28 and 137,086.56 is: 205,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,547.84 : 471,896.28 = 137,086.56 : x
  2. Step 2: Convert to fraction form
    314,547.84/471,896.28 = 137,086.56/x
  3. Step 3: Cross multiply
    314,547.84x = 471,896.28 × 137,086.56
  4. Step 4: Simplify right side
    314,547.84x = 64,690,637,702.00
  5. Step 5: Solve for x
    x = 64,690,637,702.00/314,547.84
  6. Step 6: Final answer
    x = 205,662.32

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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.