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Finding the Fourth Proportional to 648,732.30, 973,098.45 and 619,207.80

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Solution

The fourth proportional to 648,732.30, 973,098.45 and 619,207.80 is: 928,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,732.30 : 973,098.45 = 619,207.80 : x
  2. Step 2: Convert to fraction form
    648,732.30/973,098.45 = 619,207.80/x
  3. Step 3: Cross multiply
    648,732.30x = 973,098.45 × 619,207.80
  4. Step 4: Simplify right side
    648,732.30x = 602,550,150,407.91
  5. Step 5: Solve for x
    x = 602,550,150,407.91/648,732.30
  6. Step 6: Final answer
    x = 928,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.