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Finding the Fourth Proportional to 492,141.78, 736,545.81 and 302,722.05

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Solution

The fourth proportional to 492,141.78, 736,545.81 and 302,722.05 is: 453,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,141.78 : 736,545.81 = 302,722.05 : x
  2. Step 2: Convert to fraction form
    492,141.78/736,545.81 = 302,722.05/x
  3. Step 3: Cross multiply
    492,141.78x = 736,545.81 × 302,722.05
  4. Step 4: Simplify right side
    492,141.78x = 222,968,657,522.11
  5. Step 5: Solve for x
    x = 222,968,657,522.11/492,141.78
  6. Step 6: Final answer
    x = 453,057.77

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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.