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Finding the Fourth Proportional to 700,704, 966,971.52 and 382,752

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Solution

The fourth proportional to 700,704, 966,971.52 and 382,752 is: 528,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,704 : 966,971.52 = 382,752 : x
  2. Step 2: Convert to fraction form
    700,704/966,971.52 = 382,752/x
  3. Step 3: Cross multiply
    700,704x = 966,971.52 × 382,752
  4. Step 4: Simplify right side
    700,704x = 370,110,283,223.04
  5. Step 5: Solve for x
    x = 370,110,283,223.04/700,704
  6. Step 6: Final answer
    x = 528,197.76

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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.