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Finding the Fourth Proportional to 553,409.20, 830,113.80 and 179,432.20

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Solution

The fourth proportional to 553,409.20, 830,113.80 and 179,432.20 is: 269,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,409.20 : 830,113.80 = 179,432.20 : x
  2. Step 2: Convert to fraction form
    553,409.20/830,113.80 = 179,432.20/x
  3. Step 3: Cross multiply
    553,409.20x = 830,113.80 × 179,432.20
  4. Step 4: Simplify right side
    553,409.20x = 148,949,145,384.36
  5. Step 5: Solve for x
    x = 148,949,145,384.36/553,409.20
  6. Step 6: Final answer
    x = 269,148.30

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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.