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Finding the Fourth Proportional to 427,322.16, 589,701.60 and 236,328.48

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Solution

The fourth proportional to 427,322.16, 589,701.60 and 236,328.48 is: 326,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,322.16 : 589,701.60 = 236,328.48 : x
  2. Step 2: Convert to fraction form
    427,322.16/589,701.60 = 236,328.48/x
  3. Step 3: Cross multiply
    427,322.16x = 589,701.60 × 236,328.48
  4. Step 4: Simplify right side
    427,322.16x = 139,363,282,781.57
  5. Step 5: Solve for x
    x = 139,363,282,781.57/427,322.16
  6. Step 6: Final answer
    x = 326,131.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.