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Finding the Fourth Proportional to 564,289.32, 846,483.18 and 185,096.31

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Solution

The fourth proportional to 564,289.32, 846,483.18 and 185,096.31 is: 277,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,289.32 : 846,483.18 = 185,096.31 : x
  2. Step 2: Convert to fraction form
    564,289.32/846,483.18 = 185,096.31/x
  3. Step 3: Cross multiply
    564,289.32x = 846,483.18 × 185,096.31
  4. Step 4: Simplify right side
    564,289.32x = 156,680,913,095.07
  5. Step 5: Solve for x
    x = 156,680,913,095.07/564,289.32
  6. Step 6: Final answer
    x = 277,660.60

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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.