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Finding the Fourth Proportional to 517,607.89, 714,281.39 and 291,209.65

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Solution

The fourth proportional to 517,607.89, 714,281.39 and 291,209.65 is: 401,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,607.89 : 714,281.39 = 291,209.65 : x
  2. Step 2: Convert to fraction form
    517,607.89/714,281.39 = 291,209.65/x
  3. Step 3: Cross multiply
    517,607.89x = 714,281.39 × 291,209.65
  4. Step 4: Simplify right side
    517,607.89x = 208,005,631,433.70
  5. Step 5: Solve for x
    x = 208,005,631,433.70/517,607.89
  6. Step 6: Final answer
    x = 401,859.47

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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.