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Finding the Fourth Proportional to 365,314, 548,135.16 and 232,159.72

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Solution

The fourth proportional to 365,314, 548,135.16 and 232,159.72 is: 348,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,314 : 548,135.16 = 232,159.72 : x
  2. Step 2: Convert to fraction form
    365,314/548,135.16 = 232,159.72/x
  3. Step 3: Cross multiply
    365,314x = 548,135.16 × 232,159.72
  4. Step 4: Simplify right side
    365,314x = 127,254,905,267.76
  5. Step 5: Solve for x
    x = 127,254,905,267.76/365,314
  6. Step 6: Final answer
    x = 348,343.90

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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.