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Finding the Fourth Proportional to 849,309, 1,274,160.33 and 288,343.50

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Solution

The fourth proportional to 849,309, 1,274,160.33 and 288,343.50 is: 432,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,309 : 1,274,160.33 = 288,343.50 : x
  2. Step 2: Convert to fraction form
    849,309/1,274,160.33 = 288,343.50/x
  3. Step 3: Cross multiply
    849,309x = 1,274,160.33 × 288,343.50
  4. Step 4: Simplify right side
    849,309x = 367,395,849,113.36
  5. Step 5: Solve for x
    x = 367,395,849,113.36/849,309
  6. Step 6: Final answer
    x = 432,582.07

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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.