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Finding the Fourth Proportional to 361,130.60, 541,903.34 and 282,022.76

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Solution

The fourth proportional to 361,130.60, 541,903.34 and 282,022.76 is: 423,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,130.60 : 541,903.34 = 282,022.76 : x
  2. Step 2: Convert to fraction form
    361,130.60/541,903.34 = 282,022.76/x
  3. Step 3: Cross multiply
    361,130.60x = 541,903.34 × 282,022.76
  4. Step 4: Simplify right side
    361,130.60x = 152,829,075,600.02
  5. Step 5: Solve for x
    x = 152,829,075,600.02/361,130.60
  6. Step 6: Final answer
    x = 423,196.14

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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.