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Finding the Fourth Proportional to 713,561.50, 1,070,499.65 and 208,162.00

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Solution

The fourth proportional to 713,561.50, 1,070,499.65 and 208,162.00 is: 312,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,561.50 : 1,070,499.65 = 208,162.00 : x
  2. Step 2: Convert to fraction form
    713,561.50/1,070,499.65 = 208,162.00/x
  3. Step 3: Cross multiply
    713,561.50x = 1,070,499.65 × 208,162.00
  4. Step 4: Simplify right side
    713,561.50x = 222,837,348,440.62
  5. Step 5: Solve for x
    x = 222,837,348,440.62/713,561.50
  6. Step 6: Final answer
    x = 312,288.92

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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.