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Finding the Fourth Proportional to 462,681.35, 638,495.88 and 258,729.93

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Solution

The fourth proportional to 462,681.35, 638,495.88 and 258,729.93 is: 357,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,681.35 : 638,495.88 = 258,729.93 : x
  2. Step 2: Convert to fraction form
    462,681.35/638,495.88 = 258,729.93/x
  3. Step 3: Cross multiply
    462,681.35x = 638,495.88 × 258,729.93
  4. Step 4: Simplify right side
    462,681.35x = 165,197,994,337.69
  5. Step 5: Solve for x
    x = 165,197,994,337.69/462,681.35
  6. Step 6: Final answer
    x = 357,044.86

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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.