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Finding the Fourth Proportional to 363,913.10, 546,064.05 and 164,264.30

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Solution

The fourth proportional to 363,913.10, 546,064.05 and 164,264.30 is: 246,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,913.10 : 546,064.05 = 164,264.30 : x
  2. Step 2: Convert to fraction form
    363,913.10/546,064.05 = 164,264.30/x
  3. Step 3: Cross multiply
    363,913.10x = 546,064.05 × 164,264.30
  4. Step 4: Simplify right side
    363,913.10x = 89,698,828,928.42
  5. Step 5: Solve for x
    x = 89,698,828,928.42/363,913.10
  6. Step 6: Final answer
    x = 246,484.20

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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.