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Finding the Fourth Proportional to 500,254.60, 690,420.19 and 306,778

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Solution

The fourth proportional to 500,254.60, 690,420.19 and 306,778 is: 423,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,254.60 : 690,420.19 = 306,778 : x
  2. Step 2: Convert to fraction form
    500,254.60/690,420.19 = 306,778/x
  3. Step 3: Cross multiply
    500,254.60x = 690,420.19 × 306,778
  4. Step 4: Simplify right side
    500,254.60x = 211,805,725,047.82
  5. Step 5: Solve for x
    x = 211,805,725,047.82/500,254.60
  6. Step 6: Final answer
    x = 423,395.86

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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.