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Finding the Fourth Proportional to 713,563.50, 1,070,502.65 and 208,164

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Solution

The fourth proportional to 713,563.50, 1,070,502.65 and 208,164 is: 312,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,563.50 : 1,070,502.65 = 208,164 : x
  2. Step 2: Convert to fraction form
    713,563.50/1,070,502.65 = 208,164/x
  3. Step 3: Cross multiply
    713,563.50x = 1,070,502.65 × 208,164
  4. Step 4: Simplify right side
    713,563.50x = 222,840,113,634.60
  5. Step 5: Solve for x
    x = 222,840,113,634.60/713,563.50
  6. Step 6: Final answer
    x = 312,291.92

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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.