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Finding the Fourth Proportional to 517,303.40, 713,871.81 and 290,948.90

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Solution

The fourth proportional to 517,303.40, 713,871.81 and 290,948.90 is: 401,505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,303.40 : 713,871.81 = 290,948.90 : x
  2. Step 2: Convert to fraction form
    517,303.40/713,871.81 = 290,948.90/x
  3. Step 3: Cross multiply
    517,303.40x = 713,871.81 × 290,948.90
  4. Step 4: Simplify right side
    517,303.40x = 207,700,214,291.15
  5. Step 5: Solve for x
    x = 207,700,214,291.15/517,303.40
  6. Step 6: Final answer
    x = 401,505.61

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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.