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Finding the Fourth Proportional to 593,417, 890,237.10 and 238,459.16

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Solution

The fourth proportional to 593,417, 890,237.10 and 238,459.16 is: 357,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,417 : 890,237.10 = 238,459.16 : x
  2. Step 2: Convert to fraction form
    593,417/890,237.10 = 238,459.16/x
  3. Step 3: Cross multiply
    593,417x = 890,237.10 × 238,459.16
  4. Step 4: Simplify right side
    593,417x = 212,285,191,066.84
  5. Step 5: Solve for x
    x = 212,285,191,066.84/593,417
  6. Step 6: Final answer
    x = 357,733.59

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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.