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Finding the Fourth Proportional to 469,592.70, 704,307.07 and 216,851.64

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Solution

The fourth proportional to 469,592.70, 704,307.07 and 216,851.64 is: 325,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,592.70 : 704,307.07 = 216,851.64 : x
  2. Step 2: Convert to fraction form
    469,592.70/704,307.07 = 216,851.64/x
  3. Step 3: Cross multiply
    469,592.70x = 704,307.07 × 216,851.64
  4. Step 4: Simplify right side
    469,592.70x = 152,730,143,193.10
  5. Step 5: Solve for x
    x = 152,730,143,193.10/469,592.70
  6. Step 6: Final answer
    x = 325,239.60

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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.