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Finding the Fourth Proportional to 316,496.54, 474,416.76 and 197,895.53

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Solution

The fourth proportional to 316,496.54, 474,416.76 and 197,895.53 is: 296,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,496.54 : 474,416.76 = 197,895.53 : x
  2. Step 2: Convert to fraction form
    316,496.54/474,416.76 = 197,895.53/x
  3. Step 3: Cross multiply
    316,496.54x = 474,416.76 × 197,895.53
  4. Step 4: Simplify right side
    316,496.54x = 93,884,956,161.08
  5. Step 5: Solve for x
    x = 93,884,956,161.08/316,496.54
  6. Step 6: Final answer
    x = 296,638.18

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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.