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Finding the Fourth Proportional to 390,492.12, 538,684.92 and 262,946.28

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Solution

The fourth proportional to 390,492.12, 538,684.92 and 262,946.28 is: 362,735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,492.12 : 538,684.92 = 262,946.28 : x
  2. Step 2: Convert to fraction form
    390,492.12/538,684.92 = 262,946.28/x
  3. Step 3: Cross multiply
    390,492.12x = 538,684.92 × 262,946.28
  4. Step 4: Simplify right side
    390,492.12x = 141,645,195,806.10
  5. Step 5: Solve for x
    x = 141,645,195,806.10/390,492.12
  6. Step 6: Final answer
    x = 362,735.09

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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.