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Finding the Fourth Proportional to 540,468, 810,695.52 and 507,585.36

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Solution

The fourth proportional to 540,468, 810,695.52 and 507,585.36 is: 761,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,468 : 810,695.52 = 507,585.36 : x
  2. Step 2: Convert to fraction form
    540,468/810,695.52 = 507,585.36/x
  3. Step 3: Cross multiply
    540,468x = 810,695.52 × 507,585.36
  4. Step 4: Simplify right side
    540,468x = 411,497,177,369.59
  5. Step 5: Solve for x
    x = 411,497,177,369.59/540,468
  6. Step 6: Final answer
    x = 761,371.95

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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.