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Finding the Fourth Proportional to 385,462.40, 577,946.94 and 185,384.30

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Solution

The fourth proportional to 385,462.40, 577,946.94 and 185,384.30 is: 277,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,462.40 : 577,946.94 = 185,384.30 : x
  2. Step 2: Convert to fraction form
    385,462.40/577,946.94 = 185,384.30/x
  3. Step 3: Cross multiply
    385,462.40x = 577,946.94 × 185,384.30
  4. Step 4: Simplify right side
    385,462.40x = 107,142,288,909.04
  5. Step 5: Solve for x
    x = 107,142,288,909.04/385,462.40
  6. Step 6: Final answer
    x = 277,957.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.