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Finding the Fourth Proportional to 543,209, 749,663.45 and 301,491.59

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Solution

The fourth proportional to 543,209, 749,663.45 and 301,491.59 is: 416,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,209 : 749,663.45 = 301,491.59 : x
  2. Step 2: Convert to fraction form
    543,209/749,663.45 = 301,491.59/x
  3. Step 3: Cross multiply
    543,209x = 749,663.45 × 301,491.59
  4. Step 4: Simplify right side
    543,209x = 226,017,225,505.39
  5. Step 5: Solve for x
    x = 226,017,225,505.39/543,209
  6. Step 6: Final answer
    x = 416,077.84

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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.