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Finding the Fourth Proportional to 615,925.64, 923,749.14 and 194,971.88

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Solution

The fourth proportional to 615,925.64, 923,749.14 and 194,971.88 is: 292,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,925.64 : 923,749.14 = 194,971.88 : x
  2. Step 2: Convert to fraction form
    615,925.64/923,749.14 = 194,971.88/x
  3. Step 3: Cross multiply
    615,925.64x = 923,749.14 × 194,971.88
  4. Step 4: Simplify right side
    615,925.64x = 180,105,106,474.18
  5. Step 5: Solve for x
    x = 180,105,106,474.18/615,925.64
  6. Step 6: Final answer
    x = 292,413.72

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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.