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Finding the Fourth Proportional to 473,719.83, 653,705.94 and 258,861.66

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Solution

The fourth proportional to 473,719.83, 653,705.94 and 258,861.66 is: 357,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,719.83 : 653,705.94 = 258,861.66 : x
  2. Step 2: Convert to fraction form
    473,719.83/653,705.94 = 258,861.66/x
  3. Step 3: Cross multiply
    473,719.83x = 653,705.94 × 258,861.66
  4. Step 4: Simplify right side
    473,719.83x = 169,219,404,780.26
  5. Step 5: Solve for x
    x = 169,219,404,780.26/473,719.83
  6. Step 6: Final answer
    x = 357,214.10

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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.