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Finding the Fourth Proportional to 458,732.91, 633,051.41 and 257,528.91

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Solution

The fourth proportional to 458,732.91, 633,051.41 and 257,528.91 is: 355,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,732.91 : 633,051.41 = 257,528.91 : x
  2. Step 2: Convert to fraction form
    458,732.91/633,051.41 = 257,528.91/x
  3. Step 3: Cross multiply
    458,732.91x = 633,051.41 × 257,528.91
  4. Step 4: Simplify right side
    458,732.91x = 163,029,037,861.14
  5. Step 5: Solve for x
    x = 163,029,037,861.14/458,732.91
  6. Step 6: Final answer
    x = 355,389.89

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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.