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Finding the Fourth Proportional to 551,095.42, 825,037.28 and 409,567.36

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Solution

The fourth proportional to 551,095.42, 825,037.28 and 409,567.36 is: 613,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,095.42 : 825,037.28 = 409,567.36 : x
  2. Step 2: Convert to fraction form
    551,095.42/825,037.28 = 409,567.36/x
  3. Step 3: Cross multiply
    551,095.42x = 825,037.28 × 409,567.36
  4. Step 4: Simplify right side
    551,095.42x = 337,908,340,671.18
  5. Step 5: Solve for x
    x = 337,908,340,671.18/551,095.42
  6. Step 6: Final answer
    x = 613,157.59

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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.