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Finding the Fourth Proportional to 407,916.30, 611,874.45 and 362,426.70

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Solution

The fourth proportional to 407,916.30, 611,874.45 and 362,426.70 is: 543,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,916.30 : 611,874.45 = 362,426.70 : x
  2. Step 2: Convert to fraction form
    407,916.30/611,874.45 = 362,426.70/x
  3. Step 3: Cross multiply
    407,916.30x = 611,874.45 × 362,426.70
  4. Step 4: Simplify right side
    407,916.30x = 221,759,637,727.82
  5. Step 5: Solve for x
    x = 221,759,637,727.82/407,916.30
  6. Step 6: Final answer
    x = 543,640.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.