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Finding the Fourth Proportional to 535,073.65, 802,730.76 and 180,077.38

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Solution

The fourth proportional to 535,073.65, 802,730.76 and 180,077.38 is: 270,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,073.65 : 802,730.76 = 180,077.38 : x
  2. Step 2: Convert to fraction form
    535,073.65/802,730.76 = 180,077.38/x
  3. Step 3: Cross multiply
    535,073.65x = 802,730.76 × 180,077.38
  4. Step 4: Simplify right side
    535,073.65x = 144,553,652,106.21
  5. Step 5: Solve for x
    x = 144,553,652,106.21/535,073.65
  6. Step 6: Final answer
    x = 270,156.55

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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.