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Finding the Fourth Proportional to 357,546.40, 536,312.70 and 144,308.68

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Solution

The fourth proportional to 357,546.40, 536,312.70 and 144,308.68 is: 216,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.40 : 536,312.70 = 144,308.68 : x
  2. Step 2: Convert to fraction form
    357,546.40/536,312.70 = 144,308.68/x
  3. Step 3: Cross multiply
    357,546.40x = 536,312.70 × 144,308.68
  4. Step 4: Simplify right side
    357,546.40x = 77,394,577,804.24
  5. Step 5: Solve for x
    x = 77,394,577,804.24/357,546.40
  6. Step 6: Final answer
    x = 216,460.24

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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.