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Finding the Fourth Proportional to 719,541, 993,083.22 and 417,909.96

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Solution

The fourth proportional to 719,541, 993,083.22 and 417,909.96 is: 576,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,541 : 993,083.22 = 417,909.96 : x
  2. Step 2: Convert to fraction form
    719,541/993,083.22 = 417,909.96/x
  3. Step 3: Cross multiply
    719,541x = 993,083.22 × 417,909.96
  4. Step 4: Simplify right side
    719,541x = 415,019,368,746.87
  5. Step 5: Solve for x
    x = 415,019,368,746.87/719,541
  6. Step 6: Final answer
    x = 576,783.49

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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.