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Finding the Fourth Proportional to 716,966.46, 989,426.16 and 411,092.64

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Solution

The fourth proportional to 716,966.46, 989,426.16 and 411,092.64 is: 567,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,966.46 : 989,426.16 = 411,092.64 : x
  2. Step 2: Convert to fraction form
    716,966.46/989,426.16 = 411,092.64/x
  3. Step 3: Cross multiply
    716,966.46x = 989,426.16 × 411,092.64
  4. Step 4: Simplify right side
    716,966.46x = 406,745,812,199.46
  5. Step 5: Solve for x
    x = 406,745,812,199.46/716,966.46
  6. Step 6: Final answer
    x = 567,314.98

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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.