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Finding the Fourth Proportional to 593,416, 890,235.60 and 238,458.16

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Solution

The fourth proportional to 593,416, 890,235.60 and 238,458.16 is: 357,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,416 : 890,235.60 = 238,458.16 : x
  2. Step 2: Convert to fraction form
    593,416/890,235.60 = 238,458.16/x
  3. Step 3: Cross multiply
    593,416x = 890,235.60 × 238,458.16
  4. Step 4: Simplify right side
    593,416x = 212,283,943,142.50
  5. Step 5: Solve for x
    x = 212,283,943,142.50/593,416
  6. Step 6: Final answer
    x = 357,732.09

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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.