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Finding the Fourth Proportional to 666,631.84, 999,741.76 and 193,352

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Solution

The fourth proportional to 666,631.84, 999,741.76 and 193,352 is: 289,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,631.84 : 999,741.76 = 193,352 : x
  2. Step 2: Convert to fraction form
    666,631.84/999,741.76 = 193,352/x
  3. Step 3: Cross multiply
    666,631.84x = 999,741.76 × 193,352
  4. Step 4: Simplify right side
    666,631.84x = 193,302,068,779.52
  5. Step 5: Solve for x
    x = 193,302,068,779.52/666,631.84
  6. Step 6: Final answer
    x = 289,968.25

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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.