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Finding the Fourth Proportional to 473,261.28, 653,095.62 and 258,400.68

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Solution

The fourth proportional to 473,261.28, 653,095.62 and 258,400.68 is: 356,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,261.28 : 653,095.62 = 258,400.68 : x
  2. Step 2: Convert to fraction form
    473,261.28/653,095.62 = 258,400.68/x
  3. Step 3: Cross multiply
    473,261.28x = 653,095.62 × 258,400.68
  4. Step 4: Simplify right side
    473,261.28x = 168,760,352,313.02
  5. Step 5: Solve for x
    x = 168,760,352,313.02/473,261.28
  6. Step 6: Final answer
    x = 356,590.24

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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.