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Finding the Fourth Proportional to 503,883.61, 695,438.35 and 297,174.72

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Solution

The fourth proportional to 503,883.61, 695,438.35 and 297,174.72 is: 410,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,883.61 : 695,438.35 = 297,174.72 : x
  2. Step 2: Convert to fraction form
    503,883.61/695,438.35 = 297,174.72/x
  3. Step 3: Cross multiply
    503,883.61x = 695,438.35 × 297,174.72
  4. Step 4: Simplify right side
    503,883.61x = 206,666,696,938.51
  5. Step 5: Solve for x
    x = 206,666,696,938.51/503,883.61
  6. Step 6: Final answer
    x = 410,147.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.