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Finding the Fourth Proportional to 565,455.71, 780,308.16 and 310,804.67

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Solution

The fourth proportional to 565,455.71, 780,308.16 and 310,804.67 is: 428,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,455.71 : 780,308.16 = 310,804.67 : x
  2. Step 2: Convert to fraction form
    565,455.71/780,308.16 = 310,804.67/x
  3. Step 3: Cross multiply
    565,455.71x = 780,308.16 × 310,804.67
  4. Step 4: Simplify right side
    565,455.71x = 242,523,420,167.11
  5. Step 5: Solve for x
    x = 242,523,420,167.11/565,455.71
  6. Step 6: Final answer
    x = 428,899.06

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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.