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Finding the Fourth Proportional to 535,706.16, 803,536.16 and 161,718

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Solution

The fourth proportional to 535,706.16, 803,536.16 and 161,718 is: 242,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,706.16 : 803,536.16 = 161,718 : x
  2. Step 2: Convert to fraction form
    535,706.16/803,536.16 = 161,718/x
  3. Step 3: Cross multiply
    535,706.16x = 803,536.16 × 161,718
  4. Step 4: Simplify right side
    535,706.16x = 129,946,260,722.88
  5. Step 5: Solve for x
    x = 129,946,260,722.88/535,706.16
  6. Step 6: Final answer
    x = 242,570.03

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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.