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Finding the Fourth Proportional to 462,733.02, 638,567.07 and 258,781.62

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Solution

The fourth proportional to 462,733.02, 638,567.07 and 258,781.62 is: 357,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,733.02 : 638,567.07 = 258,781.62 : x
  2. Step 2: Convert to fraction form
    462,733.02/638,567.07 = 258,781.62/x
  3. Step 3: Cross multiply
    462,733.02x = 638,567.07 × 258,781.62
  4. Step 4: Simplify right side
    462,733.02x = 165,249,420,853.25
  5. Step 5: Solve for x
    x = 165,249,420,853.25/462,733.02
  6. Step 6: Final answer
    x = 357,116.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.