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Finding the Fourth Proportional to 507,722.81, 700,565.61 and 326,393.17

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Solution

The fourth proportional to 507,722.81, 700,565.61 and 326,393.17 is: 450,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,722.81 : 700,565.61 = 326,393.17 : x
  2. Step 2: Convert to fraction form
    507,722.81/700,565.61 = 326,393.17/x
  3. Step 3: Cross multiply
    507,722.81x = 700,565.61 × 326,393.17
  4. Step 4: Simplify right side
    507,722.81x = 228,659,829,847.82
  5. Step 5: Solve for x
    x = 228,659,829,847.82/507,722.81
  6. Step 6: Final answer
    x = 450,363.52

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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.