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Finding the Fourth Proportional to 706,674, 975,210.12 and 405,042.96

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Solution

The fourth proportional to 706,674, 975,210.12 and 405,042.96 is: 558,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,674 : 975,210.12 = 405,042.96 : x
  2. Step 2: Convert to fraction form
    706,674/975,210.12 = 405,042.96/x
  3. Step 3: Cross multiply
    706,674x = 975,210.12 × 405,042.96
  4. Step 4: Simplify right side
    706,674x = 395,001,993,626.76
  5. Step 5: Solve for x
    x = 395,001,993,626.76/706,674
  6. Step 6: Final answer
    x = 558,959.28

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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.