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Finding the Fourth Proportional to 530,706, 732,359.52 and 288,983.28

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Solution

The fourth proportional to 530,706, 732,359.52 and 288,983.28 is: 398,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,706 : 732,359.52 = 288,983.28 : x
  2. Step 2: Convert to fraction form
    530,706/732,359.52 = 288,983.28/x
  3. Step 3: Cross multiply
    530,706x = 732,359.52 × 288,983.28
  4. Step 4: Simplify right side
    530,706x = 211,639,656,228.83
  5. Step 5: Solve for x
    x = 211,639,656,228.83/530,706
  6. Step 6: Final answer
    x = 398,788.89

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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.