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Finding the Fourth Proportional to 462,855.24, 638,710.16 and 258,870.84

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Solution

The fourth proportional to 462,855.24, 638,710.16 and 258,870.84 is: 357,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,855.24 : 638,710.16 = 258,870.84 : x
  2. Step 2: Convert to fraction form
    462,855.24/638,710.16 = 258,870.84/x
  3. Step 3: Cross multiply
    462,855.24x = 638,710.16 × 258,870.84
  4. Step 4: Simplify right side
    462,855.24x = 165,343,435,635.73
  5. Step 5: Solve for x
    x = 165,343,435,635.73/462,855.24
  6. Step 6: Final answer
    x = 357,224.94

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1.5x scale

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.