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Finding the Fourth Proportional to 462,853.23, 638,707.40 and 258,868.83

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Solution

The fourth proportional to 462,853.23, 638,707.40 and 258,868.83 is: 357,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,853.23 : 638,707.40 = 258,868.83 : x
  2. Step 2: Convert to fraction form
    462,853.23/638,707.40 = 258,868.83/x
  3. Step 3: Cross multiply
    462,853.23x = 638,707.40 × 258,868.83
  4. Step 4: Simplify right side
    462,853.23x = 165,341,436,056.00
  5. Step 5: Solve for x
    x = 165,341,436,056.00/462,853.23
  6. Step 6: Final answer
    x = 357,222.17

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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.