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Finding the Fourth Proportional to 523,565.92, 783,707.82 and 360,508.60

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Solution

The fourth proportional to 523,565.92, 783,707.82 and 360,508.60 is: 539,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,565.92 : 783,707.82 = 360,508.60 : x
  2. Step 2: Convert to fraction form
    523,565.92/783,707.82 = 360,508.60/x
  3. Step 3: Cross multiply
    523,565.92x = 783,707.82 × 360,508.60
  4. Step 4: Simplify right side
    523,565.92x = 282,533,408,997.25
  5. Step 5: Solve for x
    x = 282,533,408,997.25/523,565.92
  6. Step 6: Final answer
    x = 539,632.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.