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Finding the Fourth Proportional to 646,009.38, 891,484.12 and 359,529.54

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Solution

The fourth proportional to 646,009.38, 891,484.12 and 359,529.54 is: 496,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,009.38 : 891,484.12 = 359,529.54 : x
  2. Step 2: Convert to fraction form
    646,009.38/891,484.12 = 359,529.54/x
  3. Step 3: Cross multiply
    646,009.38x = 891,484.12 × 359,529.54
  4. Step 4: Simplify right side
    646,009.38x = 320,514,875,580.91
  5. Step 5: Solve for x
    x = 320,514,875,580.91/646,009.38
  6. Step 6: Final answer
    x = 496,145.85

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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.