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Finding the Fourth Proportional to 713,207.77, 1,069,873.92 and 180,728.82

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Solution

The fourth proportional to 713,207.77, 1,069,873.92 and 180,728.82 is: 271,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,207.77 : 1,069,873.92 = 180,728.82 : x
  2. Step 2: Convert to fraction form
    713,207.77/1,069,873.92 = 180,728.82/x
  3. Step 3: Cross multiply
    713,207.77x = 1,069,873.92 × 180,728.82
  4. Step 4: Simplify right side
    713,207.77x = 193,357,051,110.37
  5. Step 5: Solve for x
    x = 193,357,051,110.37/713,207.77
  6. Step 6: Final answer
    x = 271,109.01

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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.