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Finding the Fourth Proportional to 847,434, 1,169,460 and 465,468.24

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Solution

The fourth proportional to 847,434, 1,169,460 and 465,468.24 is: 642,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,434 : 1,169,460 = 465,468.24 : x
  2. Step 2: Convert to fraction form
    847,434/1,169,460 = 465,468.24/x
  3. Step 3: Cross multiply
    847,434x = 1,169,460 × 465,468.24
  4. Step 4: Simplify right side
    847,434x = 544,346,487,950.40
  5. Step 5: Solve for x
    x = 544,346,487,950.40/847,434
  6. Step 6: Final answer
    x = 642,346.76

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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.