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Finding the Fourth Proportional to 649,280.84, 896,011.98 and 362,813

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Solution

The fourth proportional to 649,280.84, 896,011.98 and 362,813 is: 500,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,280.84 : 896,011.98 = 362,813 : x
  2. Step 2: Convert to fraction form
    649,280.84/896,011.98 = 362,813/x
  3. Step 3: Cross multiply
    649,280.84x = 896,011.98 × 362,813
  4. Step 4: Simplify right side
    649,280.84x = 325,084,794,499.74
  5. Step 5: Solve for x
    x = 325,084,794,499.74/649,280.84
  6. Step 6: Final answer
    x = 500,684.41

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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.