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Finding the Fourth Proportional to 873,102, 1,204,699.32 and 510,454.74

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Solution

The fourth proportional to 873,102, 1,204,699.32 and 510,454.74 is: 704,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,102 : 1,204,699.32 = 510,454.74 : x
  2. Step 2: Convert to fraction form
    873,102/1,204,699.32 = 510,454.74/x
  3. Step 3: Cross multiply
    873,102x = 1,204,699.32 × 510,454.74
  4. Step 4: Simplify right side
    873,102x = 614,944,478,168.78
  5. Step 5: Solve for x
    x = 614,944,478,168.78/873,102
  6. Step 6: Final answer
    x = 704,321.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.