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Finding the Fourth Proportional to 385,484.84, 577,915.60 and 161,017.24

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Solution

The fourth proportional to 385,484.84, 577,915.60 and 161,017.24 is: 241,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,484.84 : 577,915.60 = 161,017.24 : x
  2. Step 2: Convert to fraction form
    385,484.84/577,915.60 = 161,017.24/x
  3. Step 3: Cross multiply
    385,484.84x = 577,915.60 × 161,017.24
  4. Step 4: Simplify right side
    385,484.84x = 93,054,374,864.94
  5. Step 5: Solve for x
    x = 93,054,374,864.94/385,484.84
  6. Step 6: Final answer
    x = 241,395.68

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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.