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Finding the Fourth Proportional to 472,486.76, 708,533.07 and 148,191.30

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Solution

The fourth proportional to 472,486.76, 708,533.07 and 148,191.30 is: 222,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,486.76 : 708,533.07 = 148,191.30 : x
  2. Step 2: Convert to fraction form
    472,486.76/708,533.07 = 148,191.30/x
  3. Step 3: Cross multiply
    472,486.76x = 708,533.07 × 148,191.30
  4. Step 4: Simplify right side
    472,486.76x = 104,998,433,193.63
  5. Step 5: Solve for x
    x = 104,998,433,193.63/472,486.76
  6. Step 6: Final answer
    x = 222,225.14

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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.