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Finding the Fourth Proportional to 650,930.64, 898,274.25 and 364,461

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Solution

The fourth proportional to 650,930.64, 898,274.25 and 364,461 is: 502,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,930.64 : 898,274.25 = 364,461 : x
  2. Step 2: Convert to fraction form
    650,930.64/898,274.25 = 364,461/x
  3. Step 3: Cross multiply
    650,930.64x = 898,274.25 × 364,461
  4. Step 4: Simplify right side
    650,930.64x = 327,385,931,429.25
  5. Step 5: Solve for x
    x = 327,385,931,429.25/650,930.64
  6. Step 6: Final answer
    x = 502,950.56

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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.