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Finding the Fourth Proportional to 973,943.10, 1,460,914.65 and 824,643.90

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Solution

The fourth proportional to 973,943.10, 1,460,914.65 and 824,643.90 is: 1,236,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,943.10 : 1,460,914.65 = 824,643.90 : x
  2. Step 2: Convert to fraction form
    973,943.10/1,460,914.65 = 824,643.90/x
  3. Step 3: Cross multiply
    973,943.10x = 1,460,914.65 × 824,643.90
  4. Step 4: Simplify right side
    973,943.10x = 1,204,734,354,543.14
  5. Step 5: Solve for x
    x = 1,204,734,354,543.14/973,943.10
  6. Step 6: Final answer
    x = 1,236,965.85

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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.