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Finding the Fourth Proportional to 442,256.29, 610,271.51 and 258,537.81

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Solution

The fourth proportional to 442,256.29, 610,271.51 and 258,537.81 is: 356,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,256.29 : 610,271.51 = 258,537.81 : x
  2. Step 2: Convert to fraction form
    442,256.29/610,271.51 = 258,537.81/x
  3. Step 3: Cross multiply
    442,256.29x = 610,271.51 × 258,537.81
  4. Step 4: Simplify right side
    442,256.29x = 157,778,261,666.14
  5. Step 5: Solve for x
    x = 157,778,261,666.14/442,256.29
  6. Step 6: Final answer
    x = 356,757.53

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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.