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Finding the Fourth Proportional to 307,075.10, 460,296.95 and 117,490.95

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Solution

The fourth proportional to 307,075.10, 460,296.95 and 117,490.95 is: 176,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,075.10 : 460,296.95 = 117,490.95 : x
  2. Step 2: Convert to fraction form
    307,075.10/460,296.95 = 117,490.95/x
  3. Step 3: Cross multiply
    307,075.10x = 460,296.95 × 117,490.95
  4. Step 4: Simplify right side
    307,075.10x = 54,080,725,350.15
  5. Step 5: Solve for x
    x = 54,080,725,350.15/307,075.10
  6. Step 6: Final answer
    x = 176,115.64

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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.