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Finding the Fourth Proportional to 462,295.46, 637,965.86 and 258,346.32

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Solution

The fourth proportional to 462,295.46, 637,965.86 and 258,346.32 is: 356,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,295.46 : 637,965.86 = 258,346.32 : x
  2. Step 2: Convert to fraction form
    462,295.46/637,965.86 = 258,346.32/x
  3. Step 3: Cross multiply
    462,295.46x = 637,965.86 × 258,346.32
  4. Step 4: Simplify right side
    462,295.46x = 164,816,130,924.90
  5. Step 5: Solve for x
    x = 164,816,130,924.90/462,295.46
  6. Step 6: Final answer
    x = 356,516.87

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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.