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Finding the Fourth Proportional to 506,032.96, 759,174 and 356,565.12

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Solution

The fourth proportional to 506,032.96, 759,174 and 356,565.12 is: 534,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,032.96 : 759,174 = 356,565.12 : x
  2. Step 2: Convert to fraction form
    506,032.96/759,174 = 356,565.12/x
  3. Step 3: Cross multiply
    506,032.96x = 759,174 × 356,565.12
  4. Step 4: Simplify right side
    506,032.96x = 270,694,968,410.88
  5. Step 5: Solve for x
    x = 270,694,968,410.88/506,032.96
  6. Step 6: Final answer
    x = 534,935.45

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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.