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Finding the Fourth Proportional to 531,228.69, 733,005.84 and 298,624.65

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Solution

The fourth proportional to 531,228.69, 733,005.84 and 298,624.65 is: 412,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,228.69 : 733,005.84 = 298,624.65 : x
  2. Step 2: Convert to fraction form
    531,228.69/733,005.84 = 298,624.65/x
  3. Step 3: Cross multiply
    531,228.69x = 733,005.84 × 298,624.65
  4. Step 4: Simplify right side
    531,228.69x = 218,893,612,430.67
  5. Step 5: Solve for x
    x = 218,893,612,430.67/531,228.69
  6. Step 6: Final answer
    x = 412,051.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.