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Finding the Fourth Proportional to 462,509.90, 638,268.41 and 258,572.15

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Solution

The fourth proportional to 462,509.90, 638,268.41 and 258,572.15 is: 356,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,509.90 : 638,268.41 = 258,572.15 : x
  2. Step 2: Convert to fraction form
    462,509.90/638,268.41 = 258,572.15/x
  3. Step 3: Cross multiply
    462,509.90x = 638,268.41 × 258,572.15
  4. Step 4: Simplify right side
    462,509.90x = 165,038,433,444.91
  5. Step 5: Solve for x
    x = 165,038,433,444.91/462,509.90
  6. Step 6: Final answer
    x = 356,832.22

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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.