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Finding the Fourth Proportional to 446,178.66, 615,498.48 and 284,864.22

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Solution

The fourth proportional to 446,178.66, 615,498.48 and 284,864.22 is: 392,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,178.66 : 615,498.48 = 284,864.22 : x
  2. Step 2: Convert to fraction form
    446,178.66/615,498.48 = 284,864.22/x
  3. Step 3: Cross multiply
    446,178.66x = 615,498.48 × 284,864.22
  4. Step 4: Simplify right side
    446,178.66x = 175,333,494,416.39
  5. Step 5: Solve for x
    x = 175,333,494,416.39/446,178.66
  6. Step 6: Final answer
    x = 392,967.01

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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.