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Finding the Fourth Proportional to 380,514.70, 525,109.93 and 210,748.69

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Solution

The fourth proportional to 380,514.70, 525,109.93 and 210,748.69 is: 290,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,514.70 : 525,109.93 = 210,748.69 : x
  2. Step 2: Convert to fraction form
    380,514.70/525,109.93 = 210,748.69/x
  3. Step 3: Cross multiply
    380,514.70x = 525,109.93 × 210,748.69
  4. Step 4: Simplify right side
    380,514.70x = 110,666,229,853.49
  5. Step 5: Solve for x
    x = 110,666,229,853.49/380,514.70
  6. Step 6: Final answer
    x = 290,833.00

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