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Finding the Fourth Proportional to 417,486.18, 576,430.48 and 256,557

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Solution

The fourth proportional to 417,486.18, 576,430.48 and 256,557 is: 354,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,486.18 : 576,430.48 = 256,557 : x
  2. Step 2: Convert to fraction form
    417,486.18/576,430.48 = 256,557/x
  3. Step 3: Cross multiply
    417,486.18x = 576,430.48 × 256,557
  4. Step 4: Simplify right side
    417,486.18x = 147,887,274,657.36
  5. Step 5: Solve for x
    x = 147,887,274,657.36/417,486.18
  6. Step 6: Final answer
    x = 354,232.74

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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.