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Finding the Fourth Proportional to 469,304.06, 647,652.35 and 265,385.49

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Solution

The fourth proportional to 469,304.06, 647,652.35 and 265,385.49 is: 366,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,304.06 : 647,652.35 = 265,385.49 : x
  2. Step 2: Convert to fraction form
    469,304.06/647,652.35 = 265,385.49/x
  3. Step 3: Cross multiply
    469,304.06x = 647,652.35 × 265,385.49
  4. Step 4: Simplify right side
    469,304.06x = 171,877,536,254.40
  5. Step 5: Solve for x
    x = 171,877,536,254.40/469,304.06
  6. Step 6: Final answer
    x = 366,239.18

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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.