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Finding the Fourth Proportional to 504,956.16, 696,862.08 and 290,165.76

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Solution

The fourth proportional to 504,956.16, 696,862.08 and 290,165.76 is: 400,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,956.16 : 696,862.08 = 290,165.76 : x
  2. Step 2: Convert to fraction form
    504,956.16/696,862.08 = 290,165.76/x
  3. Step 3: Cross multiply
    504,956.16x = 696,862.08 × 290,165.76
  4. Step 4: Simplify right side
    504,956.16x = 202,205,515,058.38
  5. Step 5: Solve for x
    x = 202,205,515,058.38/504,956.16
  6. Step 6: Final answer
    x = 400,441.72

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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.