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Finding the Fourth Proportional to 540,464.58, 745,887.15 and 314,095.50

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Solution

The fourth proportional to 540,464.58, 745,887.15 and 314,095.50 is: 433,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,464.58 : 745,887.15 = 314,095.50 : x
  2. Step 2: Convert to fraction form
    540,464.58/745,887.15 = 314,095.50/x
  3. Step 3: Cross multiply
    540,464.58x = 745,887.15 × 314,095.50
  4. Step 4: Simplify right side
    540,464.58x = 234,279,797,322.83
  5. Step 5: Solve for x
    x = 234,279,797,322.83/540,464.58
  6. Step 6: Final answer
    x = 433,478.54

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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.