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Finding the Fourth Proportional to 446,507.89, 616,178.43 and 242,557.16

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Solution

The fourth proportional to 446,507.89, 616,178.43 and 242,557.16 is: 334,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,507.89 : 616,178.43 = 242,557.16 : x
  2. Step 2: Convert to fraction form
    446,507.89/616,178.43 = 242,557.16/x
  3. Step 3: Cross multiply
    446,507.89x = 616,178.43 × 242,557.16
  4. Step 4: Simplify right side
    446,507.89x = 149,458,486,953.17
  5. Step 5: Solve for x
    x = 149,458,486,953.17/446,507.89
  6. Step 6: Final answer
    x = 334,727.54

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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.