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Finding the Fourth Proportional to 473,715.89, 653,729.59 and 258,855.95

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Solution

The fourth proportional to 473,715.89, 653,729.59 and 258,855.95 is: 357,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,715.89 : 653,729.59 = 258,855.95 : x
  2. Step 2: Convert to fraction form
    473,715.89/653,729.59 = 258,855.95/x
  3. Step 3: Cross multiply
    473,715.89x = 653,729.59 × 258,855.95
  4. Step 4: Simplify right side
    473,715.89x = 169,221,794,564.39
  5. Step 5: Solve for x
    x = 169,221,794,564.39/473,715.89
  6. Step 6: Final answer
    x = 357,222.12

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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.