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Finding the Fourth Proportional to 546,811.74, 820,215.36 and 147,492.93

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Solution

The fourth proportional to 546,811.74, 820,215.36 and 147,492.93 is: 221,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,811.74 : 820,215.36 = 147,492.93 : x
  2. Step 2: Convert to fraction form
    546,811.74/820,215.36 = 147,492.93/x
  3. Step 3: Cross multiply
    546,811.74x = 820,215.36 × 147,492.93
  4. Step 4: Simplify right side
    546,811.74x = 120,975,966,677.41
  5. Step 5: Solve for x
    x = 120,975,966,677.41/546,811.74
  6. Step 6: Final answer
    x = 221,238.79

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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.