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Finding the Fourth Proportional to 473,645.14, 653,622.66 and 258,780.60

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Solution

The fourth proportional to 473,645.14, 653,622.66 and 258,780.60 is: 357,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,645.14 : 653,622.66 = 258,780.60 : x
  2. Step 2: Convert to fraction form
    473,645.14/653,622.66 = 258,780.60/x
  3. Step 3: Cross multiply
    473,645.14x = 653,622.66 × 258,780.60
  4. Step 4: Simplify right side
    473,645.14x = 169,144,864,128.40
  5. Step 5: Solve for x
    x = 169,144,864,128.40/473,645.14
  6. Step 6: Final answer
    x = 357,113.06

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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.