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Finding the Fourth Proportional to 535,022.64, 738,209.94 and 362,964.06

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Solution

The fourth proportional to 535,022.64, 738,209.94 and 362,964.06 is: 500,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,022.64 : 738,209.94 = 362,964.06 : x
  2. Step 2: Convert to fraction form
    535,022.64/738,209.94 = 362,964.06/x
  3. Step 3: Cross multiply
    535,022.64x = 738,209.94 × 362,964.06
  4. Step 4: Simplify right side
    535,022.64x = 267,943,676,954.76
  5. Step 5: Solve for x
    x = 267,943,676,954.76/535,022.64
  6. Step 6: Final answer
    x = 500,808.11

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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.