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Finding the Fourth Proportional to 535,129.32, 802,816.80 and 180,133.92

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Solution

The fourth proportional to 535,129.32, 802,816.80 and 180,133.92 is: 270,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,129.32 : 802,816.80 = 180,133.92 : x
  2. Step 2: Convert to fraction form
    535,129.32/802,816.80 = 180,133.92/x
  3. Step 3: Cross multiply
    535,129.32x = 802,816.80 × 180,133.92
  4. Step 4: Simplify right side
    535,129.32x = 144,614,537,225.86
  5. Step 5: Solve for x
    x = 144,614,537,225.86/535,129.32
  6. Step 6: Final answer
    x = 270,242.22

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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.