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Finding the Fourth Proportional to 340,075.20, 469,498.15 and 225,509.51

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Solution

The fourth proportional to 340,075.20, 469,498.15 and 225,509.51 is: 311,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,075.20 : 469,498.15 = 225,509.51 : x
  2. Step 2: Convert to fraction form
    340,075.20/469,498.15 = 225,509.51/x
  3. Step 3: Cross multiply
    340,075.20x = 469,498.15 × 225,509.51
  4. Step 4: Simplify right side
    340,075.20x = 105,876,298,362.38
  5. Step 5: Solve for x
    x = 105,876,298,362.38/340,075.20
  6. Step 6: Final answer
    x = 311,332.02

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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.