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Finding the Fourth Proportional to 480,437.16, 720,154.74 and 180,711.24

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Solution

The fourth proportional to 480,437.16, 720,154.74 and 180,711.24 is: 270,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,437.16 : 720,154.74 = 180,711.24 : x
  2. Step 2: Convert to fraction form
    480,437.16/720,154.74 = 180,711.24/x
  3. Step 3: Cross multiply
    480,437.16x = 720,154.74 × 180,711.24
  4. Step 4: Simplify right side
    480,437.16x = 130,140,056,057.28
  5. Step 5: Solve for x
    x = 130,140,056,057.28/480,437.16
  6. Step 6: Final answer
    x = 270,878.41

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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.