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Finding the Fourth Proportional to 825,432, 1,139,096.16 and 486,108.96

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Solution

The fourth proportional to 825,432, 1,139,096.16 and 486,108.96 is: 670,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,432 : 1,139,096.16 = 486,108.96 : x
  2. Step 2: Convert to fraction form
    825,432/1,139,096.16 = 486,108.96/x
  3. Step 3: Cross multiply
    825,432x = 1,139,096.16 × 486,108.96
  4. Step 4: Simplify right side
    825,432x = 553,724,849,677.59
  5. Step 5: Solve for x
    x = 553,724,849,677.59/825,432
  6. Step 6: Final answer
    x = 670,830.36

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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.