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Finding the Fourth Proportional to 466,707.84, 700,045.32 and 146,850.90

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Solution

The fourth proportional to 466,707.84, 700,045.32 and 146,850.90 is: 220,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,707.84 : 700,045.32 = 146,850.90 : x
  2. Step 2: Convert to fraction form
    466,707.84/700,045.32 = 146,850.90/x
  3. Step 3: Cross multiply
    466,707.84x = 700,045.32 × 146,850.90
  4. Step 4: Simplify right side
    466,707.84x = 102,802,285,282.79
  5. Step 5: Solve for x
    x = 102,802,285,282.79/466,707.84
  6. Step 6: Final answer
    x = 220,271.18

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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.