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Finding the Fourth Proportional to 458,714.02, 633,020.97 and 257,508.58

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Solution

The fourth proportional to 458,714.02, 633,020.97 and 257,508.58 is: 355,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,714.02 : 633,020.97 = 257,508.58 : x
  2. Step 2: Convert to fraction form
    458,714.02/633,020.97 = 257,508.58/x
  3. Step 3: Cross multiply
    458,714.02x = 633,020.97 × 257,508.58
  4. Step 4: Simplify right side
    458,714.02x = 163,008,331,094.92
  5. Step 5: Solve for x
    x = 163,008,331,094.92/458,714.02
  6. Step 6: Final answer
    x = 355,359.38

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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.