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Finding the Fourth Proportional to 484,808.36, 727,210.55 and 147,848.02

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Solution

The fourth proportional to 484,808.36, 727,210.55 and 147,848.02 is: 221,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,808.36 : 727,210.55 = 147,848.02 : x
  2. Step 2: Convert to fraction form
    484,808.36/727,210.55 = 147,848.02/x
  3. Step 3: Cross multiply
    484,808.36x = 727,210.55 × 147,848.02
  4. Step 4: Simplify right side
    484,808.36x = 107,516,639,940.61
  5. Step 5: Solve for x
    x = 107,516,639,940.61/484,808.36
  6. Step 6: Final answer
    x = 221,771.42

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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.