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Finding the Fourth Proportional to 410,420.52, 615,692.52 and 144,134.28

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Solution

The fourth proportional to 410,420.52, 615,692.52 and 144,134.28 is: 216,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,420.52 : 615,692.52 = 144,134.28 : x
  2. Step 2: Convert to fraction form
    410,420.52/615,692.52 = 144,134.28/x
  3. Step 3: Cross multiply
    410,420.52x = 615,692.52 × 144,134.28
  4. Step 4: Simplify right side
    410,420.52x = 88,742,398,071.59
  5. Step 5: Solve for x
    x = 88,742,398,071.59/410,420.52
  6. Step 6: Final answer
    x = 216,223.10

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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.