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Finding the Fourth Proportional to 463,032.72, 698,019.56 and 432,170.44

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Solution

The fourth proportional to 463,032.72, 698,019.56 and 432,170.44 is: 651,494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,032.72 : 698,019.56 = 432,170.44 : x
  2. Step 2: Convert to fraction form
    463,032.72/698,019.56 = 432,170.44/x
  3. Step 3: Cross multiply
    463,032.72x = 698,019.56 × 432,170.44
  4. Step 4: Simplify right side
    463,032.72x = 301,663,420,373.81
  5. Step 5: Solve for x
    x = 301,663,420,373.81/463,032.72
  6. Step 6: Final answer
    x = 651,494.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.