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Finding the Fourth Proportional to 473,514.12, 653,438.61 and 258,655.14

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Solution

The fourth proportional to 473,514.12, 653,438.61 and 258,655.14 is: 356,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,514.12 : 653,438.61 = 258,655.14 : x
  2. Step 2: Convert to fraction form
    473,514.12/653,438.61 = 258,655.14/x
  3. Step 3: Cross multiply
    473,514.12x = 653,438.61 × 258,655.14
  4. Step 4: Simplify right side
    473,514.12x = 169,015,255,150.96
  5. Step 5: Solve for x
    x = 169,015,255,150.96/473,514.12
  6. Step 6: Final answer
    x = 356,938.15

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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.