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Finding the Fourth Proportional to 540,699.76, 811,130.25 and 199,116.91

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Solution

The fourth proportional to 540,699.76, 811,130.25 and 199,116.91 is: 298,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,699.76 : 811,130.25 = 199,116.91 : x
  2. Step 2: Convert to fraction form
    540,699.76/811,130.25 = 199,116.91/x
  3. Step 3: Cross multiply
    540,699.76x = 811,130.25 × 199,116.91
  4. Step 4: Simplify right side
    540,699.76x = 161,509,748,466.83
  5. Step 5: Solve for x
    x = 161,509,748,466.83/540,699.76
  6. Step 6: Final answer
    x = 298,705.05

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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.