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Finding the Fourth Proportional to 535,010.42, 802,450.02 and 310,493

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Solution

The fourth proportional to 535,010.42, 802,450.02 and 310,493 is: 465,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,010.42 : 802,450.02 = 310,493 : x
  2. Step 2: Convert to fraction form
    535,010.42/802,450.02 = 310,493/x
  3. Step 3: Cross multiply
    535,010.42x = 802,450.02 × 310,493
  4. Step 4: Simplify right side
    535,010.42x = 249,155,114,059.86
  5. Step 5: Solve for x
    x = 249,155,114,059.86/535,010.42
  6. Step 6: Final answer
    x = 465,701.42

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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.