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Finding the Fourth Proportional to 540,622.08, 811,140.48 and 208,224

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Solution

The fourth proportional to 540,622.08, 811,140.48 and 208,224 is: 312,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,622.08 : 811,140.48 = 208,224 : x
  2. Step 2: Convert to fraction form
    540,622.08/811,140.48 = 208,224/x
  3. Step 3: Cross multiply
    540,622.08x = 811,140.48 × 208,224
  4. Step 4: Simplify right side
    540,622.08x = 168,898,915,307.52
  5. Step 5: Solve for x
    x = 168,898,915,307.52/540,622.08
  6. Step 6: Final answer
    x = 312,415.87

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