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Finding the Fourth Proportional to 482,148, 723,366.54 and 145,199.61

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Solution

The fourth proportional to 482,148, 723,366.54 and 145,199.61 is: 217,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,148 : 723,366.54 = 145,199.61 : x
  2. Step 2: Convert to fraction form
    482,148/723,366.54 = 145,199.61/x
  3. Step 3: Cross multiply
    482,148x = 723,366.54 × 145,199.61
  4. Step 4: Simplify right side
    482,148x = 105,032,539,495.05
  5. Step 5: Solve for x
    x = 105,032,539,495.05/482,148
  6. Step 6: Final answer
    x = 217,842.94

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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.