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Finding the Fourth Proportional to 519,088.28, 778,627.73 and 164,102.40

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Solution

The fourth proportional to 519,088.28, 778,627.73 and 164,102.40 is: 246,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,088.28 : 778,627.73 = 164,102.40 : x
  2. Step 2: Convert to fraction form
    519,088.28/778,627.73 = 164,102.40/x
  3. Step 3: Cross multiply
    519,088.28x = 778,627.73 × 164,102.40
  4. Step 4: Simplify right side
    519,088.28x = 127,774,679,609.81
  5. Step 5: Solve for x
    x = 127,774,679,609.81/519,088.28
  6. Step 6: Final answer
    x = 246,152.12

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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.