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Finding the Fourth Proportional to 497,173.92, 745,516.80 and 212,824.32

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Solution

The fourth proportional to 497,173.92, 745,516.80 and 212,824.32 is: 319,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,173.92 : 745,516.80 = 212,824.32 : x
  2. Step 2: Convert to fraction form
    497,173.92/745,516.80 = 212,824.32/x
  3. Step 3: Cross multiply
    497,173.92x = 745,516.80 × 212,824.32
  4. Step 4: Simplify right side
    497,173.92x = 158,664,106,008.58
  5. Step 5: Solve for x
    x = 158,664,106,008.58/497,173.92
  6. Step 6: Final answer
    x = 319,132.00

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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.