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Finding the Fourth Proportional to 646,134.76, 891,646.12 and 359,647.48

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Solution

The fourth proportional to 646,134.76, 891,646.12 and 359,647.48 is: 496,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,134.76 : 891,646.12 = 359,647.48 : x
  2. Step 2: Convert to fraction form
    646,134.76/891,646.12 = 359,647.48/x
  3. Step 3: Cross multiply
    646,134.76x = 891,646.12 × 359,647.48
  4. Step 4: Simplify right side
    646,134.76x = 320,678,280,109.78
  5. Step 5: Solve for x
    x = 320,678,280,109.78/646,134.76
  6. Step 6: Final answer
    x = 496,302.47

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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.