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Finding the Fourth Proportional to 540,467.58, 745,891.29 and 314,098.50

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Solution

The fourth proportional to 540,467.58, 745,891.29 and 314,098.50 is: 433,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,467.58 : 745,891.29 = 314,098.50 : x
  2. Step 2: Convert to fraction form
    540,467.58/745,891.29 = 314,098.50/x
  3. Step 3: Cross multiply
    540,467.58x = 745,891.29 × 314,098.50
  4. Step 4: Simplify right side
    540,467.58x = 234,283,335,352.07
  5. Step 5: Solve for x
    x = 234,283,335,352.07/540,467.58
  6. Step 6: Final answer
    x = 433,482.68

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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.