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Finding the Fourth Proportional to 580,019.86, 870,374.24 and 313,774.48

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Solution

The fourth proportional to 580,019.86, 870,374.24 and 313,774.48 is: 470,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,019.86 : 870,374.24 = 313,774.48 : x
  2. Step 2: Convert to fraction form
    580,019.86/870,374.24 = 313,774.48/x
  3. Step 3: Cross multiply
    580,019.86x = 870,374.24 × 313,774.48
  4. Step 4: Simplify right side
    580,019.86x = 273,101,224,561.40
  5. Step 5: Solve for x
    x = 273,101,224,561.40/580,019.86
  6. Step 6: Final answer
    x = 470,848.06

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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.