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Finding the Fourth Proportional to 1,216,354.30, 1,821,907.05 and 1,006,402.30

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Solution

The fourth proportional to 1,216,354.30, 1,821,907.05 and 1,006,402.30 is: 1,507,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,354.30 : 1,821,907.05 = 1,006,402.30 : x
  2. Step 2: Convert to fraction form
    1,216,354.30/1,821,907.05 = 1,006,402.30/x
  3. Step 3: Cross multiply
    1,216,354.30x = 1,821,907.05 × 1,006,402.30
  4. Step 4: Simplify right side
    1,216,354.30x = 1,833,571,445,506.22
  5. Step 5: Solve for x
    x = 1,833,571,445,506.22/1,216,354.30
  6. Step 6: Final answer
    x = 1,507,432.04

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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.