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Finding the Fourth Proportional to 469,969.10, 704,953.65 and 292,384.70

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Solution

The fourth proportional to 469,969.10, 704,953.65 and 292,384.70 is: 438,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,969.10 : 704,953.65 = 292,384.70 : x
  2. Step 2: Convert to fraction form
    469,969.10/704,953.65 = 292,384.70/x
  3. Step 3: Cross multiply
    469,969.10x = 704,953.65 × 292,384.70
  4. Step 4: Simplify right side
    469,969.10x = 206,117,661,469.16
  5. Step 5: Solve for x
    x = 206,117,661,469.16/469,969.10
  6. Step 6: Final answer
    x = 438,577.05

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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.