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Finding the Fourth Proportional to 535,302.64, 802,254 and 219,389.68

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Solution

The fourth proportional to 535,302.64, 802,254 and 219,389.68 is: 328,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,302.64 : 802,254 = 219,389.68 : x
  2. Step 2: Convert to fraction form
    535,302.64/802,254 = 219,389.68/x
  3. Step 3: Cross multiply
    535,302.64x = 802,254 × 219,389.68
  4. Step 4: Simplify right side
    535,302.64x = 176,006,248,338.72
  5. Step 5: Solve for x
    x = 176,006,248,338.72/535,302.64
  6. Step 6: Final answer
    x = 328,797.65

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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.