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Finding the Fourth Proportional to 673,996, 930,114.48 and 435,532

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Solution

The fourth proportional to 673,996, 930,114.48 and 435,532 is: 601,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,996 : 930,114.48 = 435,532 : x
  2. Step 2: Convert to fraction form
    673,996/930,114.48 = 435,532/x
  3. Step 3: Cross multiply
    673,996x = 930,114.48 × 435,532
  4. Step 4: Simplify right side
    673,996x = 405,094,619,703.36
  5. Step 5: Solve for x
    x = 405,094,619,703.36/673,996
  6. Step 6: Final answer
    x = 601,034.16

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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.