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Finding the Fourth Proportional to 432,510.37, 596,839.59 and 258,277.17

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Solution

The fourth proportional to 432,510.37, 596,839.59 and 258,277.17 is: 356,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,510.37 : 596,839.59 = 258,277.17 : x
  2. Step 2: Convert to fraction form
    432,510.37/596,839.59 = 258,277.17/x
  3. Step 3: Cross multiply
    432,510.37x = 596,839.59 × 258,277.17
  4. Step 4: Simplify right side
    432,510.37x = 154,150,042,487.31
  5. Step 5: Solve for x
    x = 154,150,042,487.31/432,510.37
  6. Step 6: Final answer
    x = 356,407.74

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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.