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Finding the Fourth Proportional to 631,497.60, 947,254.68 and 210,773.28

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Solution

The fourth proportional to 631,497.60, 947,254.68 and 210,773.28 is: 316,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,497.60 : 947,254.68 = 210,773.28 : x
  2. Step 2: Convert to fraction form
    631,497.60/947,254.68 = 210,773.28/x
  3. Step 3: Cross multiply
    631,497.60x = 947,254.68 × 210,773.28
  4. Step 4: Simplify right side
    631,497.60x = 199,655,975,898.95
  5. Step 5: Solve for x
    x = 199,655,975,898.95/631,497.60
  6. Step 6: Final answer
    x = 316,162.68

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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.