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Finding the Fourth Proportional to 734,818.05, 1,013,978.93 and 412,454.25

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Solution

The fourth proportional to 734,818.05, 1,013,978.93 and 412,454.25 is: 569,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,818.05 : 1,013,978.93 = 412,454.25 : x
  2. Step 2: Convert to fraction form
    734,818.05/1,013,978.93 = 412,454.25/x
  3. Step 3: Cross multiply
    734,818.05x = 1,013,978.93 × 412,454.25
  4. Step 4: Simplify right side
    734,818.05x = 418,219,917,026.68
  5. Step 5: Solve for x
    x = 418,219,917,026.68/734,818.05
  6. Step 6: Final answer
    x = 569,147.58

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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.