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Finding the Fourth Proportional to 473,900.52, 654,000.30 and 259,055.16

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Solution

The fourth proportional to 473,900.52, 654,000.30 and 259,055.16 is: 357,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,900.52 : 654,000.30 = 259,055.16 : x
  2. Step 2: Convert to fraction form
    473,900.52/654,000.30 = 259,055.16/x
  3. Step 3: Cross multiply
    473,900.52x = 654,000.30 × 259,055.16
  4. Step 4: Simplify right side
    473,900.52x = 169,422,152,356.55
  5. Step 5: Solve for x
    x = 169,422,152,356.55/473,900.52
  6. Step 6: Final answer
    x = 357,505.73

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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.