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Finding the Fourth Proportional to 540,312.32, 810,468.92 and 140,952.64

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Solution

The fourth proportional to 540,312.32, 810,468.92 and 140,952.64 is: 211,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,312.32 : 810,468.92 = 140,952.64 : x
  2. Step 2: Convert to fraction form
    540,312.32/810,468.92 = 140,952.64/x
  3. Step 3: Cross multiply
    540,312.32x = 810,468.92 × 140,952.64
  4. Step 4: Simplify right side
    540,312.32x = 114,237,733,911.95
  5. Step 5: Solve for x
    x = 114,237,733,911.95/540,312.32
  6. Step 6: Final answer
    x = 211,429.07

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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.