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Finding the Fourth Proportional to 423,205.70, 634,474.53 and 209,826.50

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Solution

The fourth proportional to 423,205.70, 634,474.53 and 209,826.50 is: 314,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,205.70 : 634,474.53 = 209,826.50 : x
  2. Step 2: Convert to fraction form
    423,205.70/634,474.53 = 209,826.50/x
  3. Step 3: Cross multiply
    423,205.70x = 634,474.53 × 209,826.50
  4. Step 4: Simplify right side
    423,205.70x = 133,129,566,796.67
  5. Step 5: Solve for x
    x = 133,129,566,796.67/423,205.70
  6. Step 6: Final answer
    x = 314,574.13

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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.