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Finding the Fourth Proportional to 473,810.06, 653,857.94 and 258,950.06

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Solution

The fourth proportional to 473,810.06, 653,857.94 and 258,950.06 is: 357,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,810.06 : 653,857.94 = 258,950.06 : x
  2. Step 2: Convert to fraction form
    473,810.06/653,857.94 = 258,950.06/x
  3. Step 3: Cross multiply
    473,810.06x = 653,857.94 × 258,950.06
  4. Step 4: Simplify right side
    473,810.06x = 169,316,551,499.73
  5. Step 5: Solve for x
    x = 169,316,551,499.73/473,810.06
  6. Step 6: Final answer
    x = 357,351.11

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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.