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Finding the Fourth Proportional to 562,275.60, 843,457.14 and 162,922.11

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Solution

The fourth proportional to 562,275.60, 843,457.14 and 162,922.11 is: 244,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,275.60 : 843,457.14 = 162,922.11 : x
  2. Step 2: Convert to fraction form
    562,275.60/843,457.14 = 162,922.11/x
  3. Step 3: Cross multiply
    562,275.60x = 843,457.14 × 162,922.11
  4. Step 4: Simplify right side
    562,275.60x = 137,417,816,943.37
  5. Step 5: Solve for x
    x = 137,417,816,943.37/562,275.60
  6. Step 6: Final answer
    x = 244,395.84

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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.