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Finding the Fourth Proportional to 306,774.40, 459,729.60 and 243,702.40

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Solution

The fourth proportional to 306,774.40, 459,729.60 and 243,702.40 is: 365,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,774.40 : 459,729.60 = 243,702.40 : x
  2. Step 2: Convert to fraction form
    306,774.40/459,729.60 = 243,702.40/x
  3. Step 3: Cross multiply
    306,774.40x = 459,729.60 × 243,702.40
  4. Step 4: Simplify right side
    306,774.40x = 112,037,206,871.04
  5. Step 5: Solve for x
    x = 112,037,206,871.04/306,774.40
  6. Step 6: Final answer
    x = 365,210.42

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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.