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Finding the Fourth Proportional to 530,732.56, 732,394 and 315,823.36

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Solution

The fourth proportional to 530,732.56, 732,394 and 315,823.36 is: 435,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,732.56 : 732,394 = 315,823.36 : x
  2. Step 2: Convert to fraction form
    530,732.56/732,394 = 315,823.36/x
  3. Step 3: Cross multiply
    530,732.56x = 732,394 × 315,823.36
  4. Step 4: Simplify right side
    530,732.56x = 231,307,133,923.84
  5. Step 5: Solve for x
    x = 231,307,133,923.84/530,732.56
  6. Step 6: Final answer
    x = 435,826.16

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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.