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Finding the Fourth Proportional to 706,528.77, 975,017.16 and 384,238.78

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Solution

The fourth proportional to 706,528.77, 975,017.16 and 384,238.78 is: 530,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,528.77 : 975,017.16 = 384,238.78 : x
  2. Step 2: Convert to fraction form
    706,528.77/975,017.16 = 384,238.78/x
  3. Step 3: Cross multiply
    706,528.77x = 975,017.16 × 384,238.78
  4. Step 4: Simplify right side
    706,528.77x = 374,639,404,037.47
  5. Step 5: Solve for x
    x = 374,639,404,037.47/706,528.77
  6. Step 6: Final answer
    x = 530,253.57

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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.