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Finding the Fourth Proportional to 535,415.53, 802,864.96 and 310,832.50

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Solution

The fourth proportional to 535,415.53, 802,864.96 and 310,832.50 is: 466,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,415.53 : 802,864.96 = 310,832.50 : x
  2. Step 2: Convert to fraction form
    535,415.53/802,864.96 = 310,832.50/x
  3. Step 3: Cross multiply
    535,415.53x = 802,864.96 × 310,832.50
  4. Step 4: Simplify right side
    535,415.53x = 249,556,522,310.82
  5. Step 5: Solve for x
    x = 249,556,522,310.82/535,415.53
  6. Step 6: Final answer
    x = 466,098.77

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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.