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Finding the Fourth Proportional to 506,484.90, 759,773.12 and 146,650.50

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Solution

The fourth proportional to 506,484.90, 759,773.12 and 146,650.50 is: 219,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,484.90 : 759,773.12 = 146,650.50 : x
  2. Step 2: Convert to fraction form
    506,484.90/759,773.12 = 146,650.50/x
  3. Step 3: Cross multiply
    506,484.90x = 759,773.12 × 146,650.50
  4. Step 4: Simplify right side
    506,484.90x = 111,421,107,201.31
  5. Step 5: Solve for x
    x = 111,421,107,201.31/506,484.90
  6. Step 6: Final answer
    x = 219,989.00

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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.