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Finding the Fourth Proportional to 517,618.32, 714,295.74 and 291,220.08

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Solution

The fourth proportional to 517,618.32, 714,295.74 and 291,220.08 is: 401,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,618.32 : 714,295.74 = 291,220.08 : x
  2. Step 2: Convert to fraction form
    517,618.32/714,295.74 = 291,220.08/x
  3. Step 3: Cross multiply
    517,618.32x = 714,295.74 × 291,220.08
  4. Step 4: Simplify right side
    517,618.32x = 208,017,262,546.46
  5. Step 5: Solve for x
    x = 208,017,262,546.46/517,618.32
  6. Step 6: Final answer
    x = 401,873.84

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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.