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Finding the Fourth Proportional to 462,703.90, 638,527.77 and 258,755.22

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Solution

The fourth proportional to 462,703.90, 638,527.77 and 258,755.22 is: 357,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,703.90 : 638,527.77 = 258,755.22 : x
  2. Step 2: Convert to fraction form
    462,703.90/638,527.77 = 258,755.22/x
  3. Step 3: Cross multiply
    462,703.90x = 638,527.77 × 258,755.22
  4. Step 4: Simplify right side
    462,703.90x = 165,222,393,602.46
  5. Step 5: Solve for x
    x = 165,222,393,602.46/462,703.90
  6. Step 6: Final answer
    x = 357,080.18

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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.