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Finding the Fourth Proportional to 506,985.10, 699,701.97 and 289,247.38

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Solution

The fourth proportional to 506,985.10, 699,701.97 and 289,247.38 is: 399,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,985.10 : 699,701.97 = 289,247.38 : x
  2. Step 2: Convert to fraction form
    506,985.10/699,701.97 = 289,247.38/x
  3. Step 3: Cross multiply
    506,985.10x = 699,701.97 × 289,247.38
  4. Step 4: Simplify right side
    506,985.10x = 202,386,961,603.34
  5. Step 5: Solve for x
    x = 202,386,961,603.34/506,985.10
  6. Step 6: Final answer
    x = 399,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.