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Finding the Fourth Proportional to 537,238.30, 805,045.52 and 359,427

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Solution

The fourth proportional to 537,238.30, 805,045.52 and 359,427 is: 538,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,238.30 : 805,045.52 = 359,427 : x
  2. Step 2: Convert to fraction form
    537,238.30/805,045.52 = 359,427/x
  3. Step 3: Cross multiply
    537,238.30x = 805,045.52 × 359,427
  4. Step 4: Simplify right side
    537,238.30x = 289,355,096,117.04
  5. Step 5: Solve for x
    x = 289,355,096,117.04/537,238.30
  6. Step 6: Final answer
    x = 538,597.30

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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.