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Finding the Fourth Proportional to 413,533.29, 570,608.94 and 258,466.30

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Solution

The fourth proportional to 413,533.29, 570,608.94 and 258,466.30 is: 356,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,533.29 : 570,608.94 = 258,466.30 : x
  2. Step 2: Convert to fraction form
    413,533.29/570,608.94 = 258,466.30/x
  3. Step 3: Cross multiply
    413,533.29x = 570,608.94 × 258,466.30
  4. Step 4: Simplify right side
    413,533.29x = 147,483,182,181.98
  5. Step 5: Solve for x
    x = 147,483,182,181.98/413,533.29
  6. Step 6: Final answer
    x = 356,641.62

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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.