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Finding the Fourth Proportional to 614,432.70, 921,649.05 and 509,370.30

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Solution

The fourth proportional to 614,432.70, 921,649.05 and 509,370.30 is: 764,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,432.70 : 921,649.05 = 509,370.30 : x
  2. Step 2: Convert to fraction form
    614,432.70/921,649.05 = 509,370.30/x
  3. Step 3: Cross multiply
    614,432.70x = 921,649.05 × 509,370.30
  4. Step 4: Simplify right side
    614,432.70x = 469,460,653,093.22
  5. Step 5: Solve for x
    x = 469,460,653,093.22/614,432.70
  6. Step 6: Final answer
    x = 764,055.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.