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Finding the Fourth Proportional to 514,633.40, 771,951.88 and 364,419.36

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Solution

The fourth proportional to 514,633.40, 771,951.88 and 364,419.36 is: 546,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,633.40 : 771,951.88 = 364,419.36 : x
  2. Step 2: Convert to fraction form
    514,633.40/771,951.88 = 364,419.36/x
  3. Step 3: Cross multiply
    514,633.40x = 771,951.88 × 364,419.36
  4. Step 4: Simplify right side
    514,633.40x = 281,314,210,060.40
  5. Step 5: Solve for x
    x = 281,314,210,060.40/514,633.40
  6. Step 6: Final answer
    x = 546,630.30

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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.