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Finding the Fourth Proportional to 527,426.64, 790,903.44 and 314,295.12

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Solution

The fourth proportional to 527,426.64, 790,903.44 and 314,295.12 is: 471,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,426.64 : 790,903.44 = 314,295.12 : x
  2. Step 2: Convert to fraction form
    527,426.64/790,903.44 = 314,295.12/x
  3. Step 3: Cross multiply
    527,426.64x = 790,903.44 × 314,295.12
  4. Step 4: Simplify right side
    527,426.64x = 248,577,091,583.21
  5. Step 5: Solve for x
    x = 248,577,091,583.21/527,426.64
  6. Step 6: Final answer
    x = 471,301.74

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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.