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Finding the Fourth Proportional to 530,698.30, 732,353.13 and 288,983.74

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Solution

The fourth proportional to 530,698.30, 732,353.13 and 288,983.74 is: 398,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,698.30 : 732,353.13 = 288,983.74 : x
  2. Step 2: Convert to fraction form
    530,698.30/732,353.13 = 288,983.74/x
  3. Step 3: Cross multiply
    530,698.30x = 732,353.13 × 288,983.74
  4. Step 4: Simplify right side
    530,698.30x = 211,638,146,508.11
  5. Step 5: Solve for x
    x = 211,638,146,508.11/530,698.30
  6. Step 6: Final answer
    x = 398,791.83

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1.5x scale

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.