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Finding the Fourth Proportional to 462,000.65, 637,554.12 and 258,054.53

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Solution

The fourth proportional to 462,000.65, 637,554.12 and 258,054.53 is: 356,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,000.65 : 637,554.12 = 258,054.53 : x
  2. Step 2: Convert to fraction form
    462,000.65/637,554.12 = 258,054.53/x
  3. Step 3: Cross multiply
    462,000.65x = 637,554.12 × 258,054.53
  4. Step 4: Simplify right side
    462,000.65x = 164,523,728,786.16
  5. Step 5: Solve for x
    x = 164,523,728,786.16/462,000.65
  6. Step 6: Final answer
    x = 356,111.47

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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.