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Finding the Fourth Proportional to 341,824.80, 512,737.20 and 144,807.20

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Solution

The fourth proportional to 341,824.80, 512,737.20 and 144,807.20 is: 217,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,824.80 : 512,737.20 = 144,807.20 : x
  2. Step 2: Convert to fraction form
    341,824.80/512,737.20 = 144,807.20/x
  3. Step 3: Cross multiply
    341,824.80x = 512,737.20 × 144,807.20
  4. Step 4: Simplify right side
    341,824.80x = 74,248,038,267.84
  5. Step 5: Solve for x
    x = 74,248,038,267.84/341,824.80
  6. Step 6: Final answer
    x = 217,210.80

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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.