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Finding the Fourth Proportional to 589,371.86, 813,430.68 and 347,713.50

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Solution

The fourth proportional to 589,371.86, 813,430.68 and 347,713.50 is: 479,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,371.86 : 813,430.68 = 347,713.50 : x
  2. Step 2: Convert to fraction form
    589,371.86/813,430.68 = 347,713.50/x
  3. Step 3: Cross multiply
    589,371.86x = 813,430.68 × 347,713.50
  4. Step 4: Simplify right side
    589,371.86x = 282,840,828,750.18
  5. Step 5: Solve for x
    x = 282,840,828,750.18/589,371.86
  6. Step 6: Final answer
    x = 479,902.16

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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.