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Finding the Fourth Proportional to 535,123.32, 802,807.83 and 180,127.86

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Solution

The fourth proportional to 535,123.32, 802,807.83 and 180,127.86 is: 270,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,123.32 : 802,807.83 = 180,127.86 : x
  2. Step 2: Convert to fraction form
    535,123.32/802,807.83 = 180,127.86/x
  3. Step 3: Cross multiply
    535,123.32x = 802,807.83 × 180,127.86
  4. Step 4: Simplify right side
    535,123.32x = 144,608,056,409.14
  5. Step 5: Solve for x
    x = 144,608,056,409.14/535,123.32
  6. Step 6: Final answer
    x = 270,233.14

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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.