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Finding the Fourth Proportional to 535,896.48, 803,282.88 and 180,788.16

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Solution

The fourth proportional to 535,896.48, 803,282.88 and 180,788.16 is: 270,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,896.48 : 803,282.88 = 180,788.16 : x
  2. Step 2: Convert to fraction form
    535,896.48/803,282.88 = 180,788.16/x
  3. Step 3: Cross multiply
    535,896.48x = 803,282.88 × 180,788.16
  4. Step 4: Simplify right side
    535,896.48x = 145,224,033,834.70
  5. Step 5: Solve for x
    x = 145,224,033,834.70/535,896.48
  6. Step 6: Final answer
    x = 270,992.70

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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.