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Finding the Fourth Proportional to 458,719.52, 633,028.54 and 257,514.08

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Solution

The fourth proportional to 458,719.52, 633,028.54 and 257,514.08 is: 355,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,719.52 : 633,028.54 = 257,514.08 : x
  2. Step 2: Convert to fraction form
    458,719.52/633,028.54 = 257,514.08/x
  3. Step 3: Cross multiply
    458,719.52x = 633,028.54 × 257,514.08
  4. Step 4: Simplify right side
    458,719.52x = 163,013,762,091.84
  5. Step 5: Solve for x
    x = 163,013,762,091.84/458,719.52
  6. Step 6: Final answer
    x = 355,366.96

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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.