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Finding the Fourth Proportional to 706,834.76, 975,409.72 and 384,536.64

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Solution

The fourth proportional to 706,834.76, 975,409.72 and 384,536.64 is: 530,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,834.76 : 975,409.72 = 384,536.64 : x
  2. Step 2: Convert to fraction form
    706,834.76/975,409.72 = 384,536.64/x
  3. Step 3: Cross multiply
    706,834.76x = 975,409.72 × 384,536.64
  4. Step 4: Simplify right side
    706,834.76x = 375,080,776,352.14
  5. Step 5: Solve for x
    x = 375,080,776,352.14/706,834.76
  6. Step 6: Final answer
    x = 530,648.46

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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.