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Finding the Fourth Proportional to 519,038.40, 778,816.80 and 294,571.20

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Solution

The fourth proportional to 519,038.40, 778,816.80 and 294,571.20 is: 442,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,038.40 : 778,816.80 = 294,571.20 : x
  2. Step 2: Convert to fraction form
    519,038.40/778,816.80 = 294,571.20/x
  3. Step 3: Cross multiply
    519,038.40x = 778,816.80 × 294,571.20
  4. Step 4: Simplify right side
    519,038.40x = 229,416,999,356.16
  5. Step 5: Solve for x
    x = 229,416,999,356.16/519,038.40
  6. Step 6: Final answer
    x = 442,003.90

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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.