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Finding the Fourth Proportional to 473,568.62, 653,514 and 258,709.64

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Solution

The fourth proportional to 473,568.62, 653,514 and 258,709.64 is: 357,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,568.62 : 653,514 = 258,709.64 : x
  2. Step 2: Convert to fraction form
    473,568.62/653,514 = 258,709.64/x
  3. Step 3: Cross multiply
    473,568.62x = 653,514 × 258,709.64
  4. Step 4: Simplify right side
    473,568.62x = 169,070,371,674.96
  5. Step 5: Solve for x
    x = 169,070,371,674.96/473,568.62
  6. Step 6: Final answer
    x = 357,013.46

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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.