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Finding the Fourth Proportional to 531,544.65, 797,642.52 and 211,849.89

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Solution

The fourth proportional to 531,544.65, 797,642.52 and 211,849.89 is: 317,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,544.65 : 797,642.52 = 211,849.89 : x
  2. Step 2: Convert to fraction form
    531,544.65/797,642.52 = 211,849.89/x
  3. Step 3: Cross multiply
    531,544.65x = 797,642.52 × 211,849.89
  4. Step 4: Simplify right side
    531,544.65x = 168,980,480,121.32
  5. Step 5: Solve for x
    x = 168,980,480,121.32/531,544.65
  6. Step 6: Final answer
    x = 317,904.58

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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.