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Finding the Fourth Proportional to 961,148, 1,326,384.24 and 537,212

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Solution

The fourth proportional to 961,148, 1,326,384.24 and 537,212 is: 741,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,148 : 1,326,384.24 = 537,212 : x
  2. Step 2: Convert to fraction form
    961,148/1,326,384.24 = 537,212/x
  3. Step 3: Cross multiply
    961,148x = 1,326,384.24 × 537,212
  4. Step 4: Simplify right side
    961,148x = 712,549,530,338.88
  5. Step 5: Solve for x
    x = 712,549,530,338.88/961,148
  6. Step 6: Final answer
    x = 741,352.56

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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.