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Finding the Fourth Proportional to 497,269.84, 745,984.32 and 197,752.88

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Solution

The fourth proportional to 497,269.84, 745,984.32 and 197,752.88 is: 296,660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,269.84 : 745,984.32 = 197,752.88 : x
  2. Step 2: Convert to fraction form
    497,269.84/745,984.32 = 197,752.88/x
  3. Step 3: Cross multiply
    497,269.84x = 745,984.32 × 197,752.88
  4. Step 4: Simplify right side
    497,269.84x = 147,520,547,714.84
  5. Step 5: Solve for x
    x = 147,520,547,714.84/497,269.84
  6. Step 6: Final answer
    x = 296,660.96

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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.