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Finding the Fourth Proportional to 615,578.20, 923,509.47 and 194,854.08

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Solution

The fourth proportional to 615,578.20, 923,509.47 and 194,854.08 is: 292,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,578.20 : 923,509.47 = 194,854.08 : x
  2. Step 2: Convert to fraction form
    615,578.20/923,509.47 = 194,854.08/x
  3. Step 3: Cross multiply
    615,578.20x = 923,509.47 × 194,854.08
  4. Step 4: Simplify right side
    615,578.20x = 179,949,588,148.14
  5. Step 5: Solve for x
    x = 179,949,588,148.14/615,578.20
  6. Step 6: Final answer
    x = 292,326.12

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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.