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Finding the Fourth Proportional to 1,037,602.10, 1,554,945.15 and 824,734.10

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Solution

The fourth proportional to 1,037,602.10, 1,554,945.15 and 824,734.10 is: 1,235,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,602.10 : 1,554,945.15 = 824,734.10 : x
  2. Step 2: Convert to fraction form
    1,037,602.10/1,554,945.15 = 824,734.10/x
  3. Step 3: Cross multiply
    1,037,602.10x = 1,554,945.15 × 824,734.10
  4. Step 4: Simplify right side
    1,037,602.10x = 1,282,416,288,834.62
  5. Step 5: Solve for x
    x = 1,282,416,288,834.62/1,037,602.10
  6. Step 6: Final answer
    x = 1,235,942.26

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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.