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Finding the Fourth Proportional to 412,598.68, 569,572.68 and 259,861.33

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Solution

The fourth proportional to 412,598.68, 569,572.68 and 259,861.33 is: 358,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,598.68 : 569,572.68 = 259,861.33 : x
  2. Step 2: Convert to fraction form
    412,598.68/569,572.68 = 259,861.33/x
  3. Step 3: Cross multiply
    412,598.68x = 569,572.68 × 259,861.33
  4. Step 4: Simplify right side
    412,598.68x = 148,009,914,156.46
  5. Step 5: Solve for x
    x = 148,009,914,156.46/412,598.68
  6. Step 6: Final answer
    x = 358,726.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.