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Finding the Fourth Proportional to 713,600.10, 984,813.66 and 471,457.89

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Solution

The fourth proportional to 713,600.10, 984,813.66 and 471,457.89 is: 650,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,600.10 : 984,813.66 = 471,457.89 : x
  2. Step 2: Convert to fraction form
    713,600.10/984,813.66 = 471,457.89/x
  3. Step 3: Cross multiply
    713,600.10x = 984,813.66 × 471,457.89
  4. Step 4: Simplify right side
    713,600.10x = 464,298,170,186.78
  5. Step 5: Solve for x
    x = 464,298,170,186.78/713,600.10
  6. Step 6: Final answer
    x = 650,641.96

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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.