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Finding the Fourth Proportional to 497,706.66, 746,117.91 and 194,030.82

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Solution

The fourth proportional to 497,706.66, 746,117.91 and 194,030.82 is: 290,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.66 : 746,117.91 = 194,030.82 : x
  2. Step 2: Convert to fraction form
    497,706.66/746,117.91 = 194,030.82/x
  3. Step 3: Cross multiply
    497,706.66x = 746,117.91 × 194,030.82
  4. Step 4: Simplify right side
    497,706.66x = 144,769,869,893.99
  5. Step 5: Solve for x
    x = 144,769,869,893.99/497,706.66
  6. Step 6: Final answer
    x = 290,873.89

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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.