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Finding the Fourth Proportional to 369,164.70, 509,457.96 and 208,010.88

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Solution

The fourth proportional to 369,164.70, 509,457.96 and 208,010.88 is: 287,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,164.70 : 509,457.96 = 208,010.88 : x
  2. Step 2: Convert to fraction form
    369,164.70/509,457.96 = 208,010.88/x
  3. Step 3: Cross multiply
    369,164.70x = 509,457.96 × 208,010.88
  4. Step 4: Simplify right side
    369,164.70x = 105,972,798,582.61
  5. Step 5: Solve for x
    x = 105,972,798,582.61/369,164.70
  6. Step 6: Final answer
    x = 287,061.03

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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.