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Finding the Fourth Proportional to 423,062.39, 634,595.78 and 142,582.07

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Solution

The fourth proportional to 423,062.39, 634,595.78 and 142,582.07 is: 213,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,062.39 : 634,595.78 = 142,582.07 : x
  2. Step 2: Convert to fraction form
    423,062.39/634,595.78 = 142,582.07/x
  3. Step 3: Cross multiply
    423,062.39x = 634,595.78 × 142,582.07
  4. Step 4: Simplify right side
    423,062.39x = 90,481,979,212.75
  5. Step 5: Solve for x
    x = 90,481,979,212.75/423,062.39
  6. Step 6: Final answer
    x = 213,873.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.