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Finding the Fourth Proportional to 520,098.60, 780,090.30 and 146,159.40

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Solution

The fourth proportional to 520,098.60, 780,090.30 and 146,159.40 is: 219,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.60 : 780,090.30 = 146,159.40 : x
  2. Step 2: Convert to fraction form
    520,098.60/780,090.30 = 146,159.40/x
  3. Step 3: Cross multiply
    520,098.60x = 780,090.30 × 146,159.40
  4. Step 4: Simplify right side
    520,098.60x = 114,017,530,193.82
  5. Step 5: Solve for x
    x = 114,017,530,193.82/520,098.60
  6. Step 6: Final answer
    x = 219,222.91

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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.