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Finding the Fourth Proportional to 882,802.52, 1,324,335.53 and 409,535.72

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Solution

The fourth proportional to 882,802.52, 1,324,335.53 and 409,535.72 is: 614,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,802.52 : 1,324,335.53 = 409,535.72 : x
  2. Step 2: Convert to fraction form
    882,802.52/1,324,335.53 = 409,535.72/x
  3. Step 3: Cross multiply
    882,802.52x = 1,324,335.53 × 409,535.72
  4. Step 4: Simplify right side
    882,802.52x = 542,362,699,202.29
  5. Step 5: Solve for x
    x = 542,362,699,202.29/882,802.52
  6. Step 6: Final answer
    x = 614,364.70

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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.